Chapter 8 Tools Used in Gat Audit 2

Chapter 8: Tools Used in Gathering Audit Evidence Student: ___________________________________________________________________________ 1. Audit sampling implies the gathering of evidence to use as a basis for making valid inferences about the characteristics of the population as a whole without examining every transaction. True False

2. Audit sampling is the application of an audit procedure to less than 100 percent of the items within an account balance or class of transactions for the purpose of evaluating some characteristic. True False

3. When performing substantive tests using sampling methods, the auditor's main concern is the risk of incorrect rejection. True False

4. The risk of incorrect acceptance of an account balance as correct, when in fact it is not correct, bears directly on the effectiveness of an audit. True False

5. The tolerable misstatement is the confidence level needed to infer population values. True False

6. Statistical sampling is used when an auditor chooses to examine all purchases of equipment exceeding $1,000.00 and to test the remaining items by analytical procedures. True False

7. The most efficient method of testing a large population is the use of nonstatistical sampling. True False

8. Statistical sampling assists auditors in determining the sufficiency of evidence gathered. True False

9. The use of haphazard selection of a sample allows for random, statistical evaluation. True False

10. The tolerable failure rate is the minimum rate of control procedure failure that can occur sufficient to cause the auditor to re-assess the preliminary assessment of control risk to a higher level. True False

11. The expected failure rate is the auditor's best estimate of the percentage of transactions processed for which the control procedure is not effectively applied. True False

12. An attribute is defined as a characteristic of the population of interest to the auditor. True False

13. The sample size decreases as the allowance for sampling error decreases. True False

14. For tests of control procedures the most commonly used statistical method is Attribute Sampling. True False

15. Increasing the expected failure rate will cause the sample size to increase. True False

16. Sample size varies directly with the expected failure rate. True False

17. An auditor uses sampling to determine the reasonableness of an account balance by performing detailed analysis of items making up the account balance. True False

18. The auditor must define the population to which sampling relates if the auditor is to use statistical sampling for substantive tests of account balances. True False

19. The individual auditable elements defined by the auditor are the sampling units. True False

20. The classical sampling methods include difference estimation, ratio estimation, and mean-per-unit sampling. True False

21. Nonstatistical samples should be based on the same audit considerations as those used for statistical sampling. True False

22. Random sampling can be used to determine sample size or evaluate sampling results even if the auditor does not plan on using statistical sampling. True False

23. Classical methods of sampling are relatively easier to use than is MUS sampling. True False

24. MUS sampling is designed to test whether there is an acceptable risk of account balance understatement. True False

25. Monetary unit sampling (MUS) is a widely used statistical sampling method because it results in an efficient sample size and concentrates on the dollar value of the account balances. True False

26. The design of MUS sampling requires the auditor to determine audit risk, tolerable misstatement, and the expected misstatement in the account balance. True False

27. The design of MUS sampling requires the auditor to determine detection risk, tolerable misstatement, and the expected misstatement in the account balance. True False

28. Sampling risk is defined as the risk that an inference drawn from a sample will be incorrect. True False

29. If the statistical confidence level is 90 percent, the test of details (TD) risk is 10 percent. True False

30. In the formula where I = TM - (EM ´ EEF)/RF; I is the sampling interval in dollars. True False

31. In the formula where I = TM - (EM ´ EEF)/RF; I is the sampling interval in number of units. True False

32. Population items with a zero balance have the same chance of being chosen as those with dollar balances when using MUS sampling. True False

33. Evaluating statistical sample results is one of the task performed by GAAS. True False

34. One of the most rigorous approaches to analytical procedures is regression analysis. True False

35. Analytical procedures are designed to provide dependent evidence about account balances—to replace the client’s underlying estimation process. True False

36. Extracting data from the client’s computer system is one of the tasks performed by GAS. True False

37. Statistical sampling combines the theory of probability and statistical inference with audit judgment and experience. True False

38. An example of sampling an attribute includes testing a purchase order for the proper signature. True False

39. The auditor's tolerable failure rate for Attribute Sampling is the point in which control failures support the planned assessment of audit risk. True False

40. Attribute Sampling for testing controls should only be done by the auditor at the end of the fiscal period under audit. True False

41. In analysis of the results of audit sampling, an auditor may determine that the sample size must be increased. True False

42. Random number, systematic sampling and material value sampling are acceptable sample selection methods for statistical sampling. True False

43. Random number, haphazard selection and block sampling are acceptable sample selection methods for nonstatistical sampling. True False

44. Random number and systematic sampling are acceptable sample selection methods for statistical sampling. True False

45. Using Attribute Sampling the auditor normally tests for multiple attributes using the same source documents. True False

46. The audit objective of Attribute Sampling is to test the correctness of an account balance. True False

47. Stratification of the population into several homogeneous subpopulations generally creates audit efficiency. True False

48. In Attribute Sampling if the achieved upper limit exceeds the tolerable rate the auditor can rely upon the control as working. True False

49. In MUS sampling basic precision is the upper misstatement limit when no misstatements are detected in a MUS sample. It is computed by multiplying the sampling interval by the error expansion factor. True False

50. In Attribute Sampling if the selected item cannot be located, the auditor considers that control procedure as not working. True False

51. Audit sampling is used to obtain evidence about each of the following except A. the effectiveness of control procedures. B. the efficiency of control procedures. C. the dollar accuracy of account balances. D. the dollar accuracy of classes of transactions.

52. Which one of the following accounting constraints supports the concept of audit sampling? A. Conservatism B. Materiality C. Cost-benefit D. Industry practice

53. Which one of the following is not a decision the auditor needs to make about attribute sampling? A. Sample size B. Selection of items included in the sample C. Evaluation of sample information D. Whether to document all phases

54. Which one of the following is a decision the auditor needs to make about attribute sampling? A. Management selection of sample size B. Period covered by testing C. Population size D. Whether to use dollar unit or variables sampling

55. Nonsampling risk includes all of the following except A. misinterpretation of information. B. use of improper audit procedure. C. improper projection of results to the population. D. carelessness of the auditor. E. all of the above.

56. Sampling risk is the risk that A. the sample will not contain characteristics representative of the population such that inferences made about that population will be incorrect. B. the population will not contain characteristics representative of the sample such that inferences made about that sample will be incorrect. C. Neither A nor B is correct. D. Both A and B are correct.

57. Control risk that is assessed excessively high leads to: A. audit inefficiency. B. a less expensive audit. C. reduction of substantive testing. D. errors that are more likely to occur than anticipated.

58. The auditor's risk of concluding that the book value of inventory is correct when it is materially misstated is the risk of A. incorrect rejection. B. incorrect acceptance. C. insufficient sample size. D. none of the above.

59. Incorrect acceptance is directly related to A. the efficiency of the audit. B. the ineffectiveness of the audit. C. the cost of the audit. D. all of the above.

60. The auditor is most concerned with which of the following? A. Risk of incorrect rejection B. Risk of incorrect acceptance C. Risk of excess sample size D. Risk of errors in the population

61. While auditors may use either statistical or nonstatistical sampling, some auditors restrict the use of nonstatistical sampling mainly because it is A. less effective. B. less objective. C. less efficient. D. less risky.

62. Statistical sampling is best known for combining A. binomial and confidence intervals. B. random and haphazard selection. C. hypergeometric distribution with audit risk. D. probability and statistical inference with audit judgment.

63. Which one of the following issues need not be addressed when planning an audit sample to test control procedures? A. Audit objective of the test B. Minimum rate of control procedure failure C. Expected rate of control procedure failure D. Auditor's allowable risk of assessing control risk too low

64. The maximum rate of control procedure failure that can occur and still support the preliminary assessment of control risk is A. tolerable failure rate. B. allowable risk of assessing control risk too low. C. expected failure rate. D. allowance for sampling error.

65. The statistical sampling method most commonly used to test control procedures is A. variable sampling. B. ratio estimation sampling. C. attribute estimation sampling. D. dollar unit sampling.

66. Which one of the following is not a typical step used to implement an attribute estimation sampling plan? A. Define the attributes of interest and what constitutes failure(s) B. Select and audit the sample items C. Evaluate the sample results D. Define the nonstatistical sampling method that is most effective and efficient

67. The sample size varies directly with A. the expected failure rate. B. the tolerable error rate. C. the allowable risk of assessing control risk too low. D. the nonsampling risk.

68. In analyzing misstatements using sampling techniques, the auditor should analyze the misstatements A. qualitatively and quantitatively. B. absolutely and proportionately. C. haphazardly and randomly. D. methodically and systematically.

69. Haphazard sampling is an acceptable method of sampling provided the auditor believes the sample to be A. statistically sound. B. representative of the population. C. representative of the sample. D. in the upper stratum.

70. When determining the sample size, the auditor must realize that for most purposes: A. sampling risk is high. B. tolerable failure rate is predetermined. C. a failure rate is not to be expected. D. population size is not a major factor.

71. The steps used in sampling during substantive testing includes the determination of each of the following except A. the audit objective. B. the method of selecting a sample. C. expected misstatement conditions. D. control failure risk.

72. Nonstatistical sampling may be utilized for Tests of Controls A. Yes Yes B. Yes No C. No No D. No Yes

Substantive Testing

73. Factors that the auditor should consider when choosing between nonstatistical and statistical sampling include A. whether the audit staff is adequately trained to use statistical sampling. B. whether the population lends itself to a random-based selection method. C. whether the auditor wants an objective measure of the risk of drawing a wrong conclusion. D. all of the above.

74. When confirming receivables in testing for overstatements, there are few or no misstatements expected, and the selection is based on dollars, the auditor is likely to use A. MUS sampling. B. stratified mean-per-unit sampling. C. ratio estimation sampling. D. attribute sampling.

75. In MUS sampling, the expected amount of misstatement must be A. greater than tolerable misstatement. B. less than tolerable misstatement. C. equal to tolerable misstatement. D. either A or C.

76. Probability proportional to size sampling is designed to test for overstatement of an account balance while classical variable methods are designed to test for A. both overstatement and understatement. B. understatement only. C. overstatement only. D. exact dollar balances.

77. The probability proportional to size sampling is designed to test for A. overstatements. B. understatements. C. neither understatements nor overstatements. D. either understatements or overstatements.

78. The design of a MUS sample requires the auditor to determine all of the following except A. detection risk. B. inherent risk. C. tolerable misstatement. D. expected misstatement in the account balance.

79. When using MUS sampling, an auditor found that the sampling interval should be $15,755. If selecting the sample manually, the auditor should round the sample interval to A. $16,000. B. $15,000. C. $14,000. D. $10,000.

80. When planning a test of details using MUS sampling, tolerable misstatement is usually set A. higher than planning materiality. B. lower than planning materiality. C. either higher or lower than planning materiality. D. the same as materiality. 81. In MUS sampling, the formula for the sampling interval is A. 010009000003f81d00000000d11d000000000400000003010800050000000b0200000000050000000c022600 85000400000004010d00040000000701030005000000140200000000d11d0000410b2000cc0026008500000000 0026008500000000002800000085000000260000000100180000000000603b0000000000000000000000000000 00000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdfdfdfefefeffffffffff fffdfdfdfffffffdfdfdfdfdfdfefefefffffffefefefffffffffffffffffffffffffffdfffffffffffffffefefefffffffffffffffffffcfffdfffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff00fffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

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When using MUS sampling, the auditor will use which of the following formulas to determine maximum sample size? 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83. Which one of the following is a proper course of action for the auditor when the upper misstatement limit exceeds the tolerable misstatement? A. The auditor can ask the client to correct the known misstatements. B. Analyze the detected misstatements for some common problems. C. The auditor can expand the sample. D. All of the above.

84. MUS sampling has all of the following advantages over other statistical methods except which? A. Easier to apply than other statistical sampling approaches. B. Sample sizes are relatively small. C. Sample size is influenced by the standard failure of the population. D. Usually results in a highly efficient sample size. E. None of the above is an advantage.

85. A major disadvantage of MUS sampling is which of the following? A. Sample selection is relatively easy. B. Sample sizes are relatively small. C. It is difficult to test for understatement. D. It directly controls for the risk of incorrect acceptance.

86. When the results of sample testing conclude that there is misstatement in excess of the tolerable misstatement the auditor will usually: A. issue a disclaimer of opinion. B. throw out the sample. C. propose adjustments to the client. D. disclose the misstatement in the client's financial statements.

87. A primary difference in comparing the resulting misstatements analyzed after using statistical methods compared to those using non-statistical methods is that A. statistical methods determine the most likely misstatement while nonstatistical methods determine misstatements by projecting the misstatement found in the sample back to the population. B. statistical methods determine misstatements by projecting the misstatement found in the sample back to the population while nonstatistical methods determine the most likely misstatement. C. statistical methods take a multiple of the estimated misstatement while nonstatistical methods use precision to determine the upper limit. D. statistical methods ignore any sampling error as the probabilities have compensated for them while nonstatistical methods must utilize the sampling error in the projection of the upper limit.

88. When an auditor uses MUS and analyzes misstatements in the lower stratum, the book value will be compared to the audit results in order to derive the: A. audit value. B. tolerable misstatement. C. sampling interval. D. tainting percentage.

89. In attribute sampling, the risk of incorrect acceptance deals with A. effectiveness. B. efficiency. C. reliability. D. Both A and B.

90. In attribute sampling, the risk of incorrect rejection deals with A. effectiveness. B. efficiency. C. reliability. D. Both A and B.

91. Non-sampling risk deals with A. not carrying out the appropriate audit procedure. B. drawing an incorrect inference from the sample results. C. inappropriately diagnosing client’s problems. D. Both A and C.

92. Attribute sampling is used when A. testing rates of deviations of controls. B. testing the reasonableness of account balances. C. need to estimate some amount. D. Both A and B.

93. In sample selection, systematic selection deals with A. each item in the population having an equal chance of selection. B. every nth item being selected after a random start. C. an arbitrary selection with no conscious bias. D. selecting all items on a day or week.

94. In sample selection, haphazard selection deals with A. each item in the population having an equal chance of selection. B. every nth item being selected after a random start. C. an arbitrary selection with no conscious bias. D. selecting all items on a day or week.

95. In sample selection, block sampling deals with A. each item in the population having an equal chance of selection. B. every nth item being selected after a random start. C. an arbitrary selection with no conscious bias. D. selecting all items on a day or week.

96. Sampling risk deals with A. not carrying out the appropriate audit procedure. B. drawing an incorrect inference from the sample results. C. inappropriately diagnosing client’s problems. D. Both A and C.

97. In testing the reasonableness of account balances, MUS sampling is preferred because it provides a smaller sample size. Which of the following are limitations of using the MUS sampling method? A. tests for overstatement. B. zero and negative amounts. C. numerous misstatements. D. all of the above.

98. In testing for the reasonableness of an account balance, if MUS sampling cannot be used because of its limitations, what is an alternative statistical method? A. attribute sampling. B. mean-per-unit sampling. C. discovery sampling. D. all of the above.

99. The upper misstatement limit is computed by adding A. basic Precision B. most Likely Misstatement C. incremental Allowance for Sampling Error D. all of the above

100. Which of the following task is not performed by Generalized audit software? A. Footing a file B. Evaluating statistical sample results C. Checking for gaps in processing sequences D. Preparing custom reports E. All of the above task are performed

101. Dividing the population into relatively homogeneous groups in order to reduce sample size is called A. Ratio estimation. B. Difference estimation. C. Stratification. D. MUS sampling.

102. Sampling factors List the four important decisions an auditor must make when deciding to use sampling.

103. Nonsampling risk What is nonsampling risk and how can it be eliminated?

104. Risks of sampling in tests of controls Define the following terms as they relate to sampling for tests of controls: 1. 2. 3.

tolerable failure rate expected failure rate allowance for sampling error.

105. Planning and documentation of sampling use What are the steps to implement an attribute estimation sampling plan?

106. Encountering misstatements in the sampling process Explain the term "misstatement" as it applies to sampling during substantive procedures and explain how the term may be interpreted differently by different auditors.

107. Choosing sampling methods Identify the factors that an auditor would consider when choosing between nonstatistical sampling and statistical sampling.

108. Using MUS sampling Under what conditions would an auditor choose to use MUS sampling?

109. MUS calculation Present the formula for the sample interval when using MUS sampling and identify each component of the formula.

110. MUS calculation applied Given the following information, calculate the sampling interval and the maximum sample size for accounts receivable when there are 550 accounts and a balance of $1,750,000.

Tolerable misstatement Expected misstatement Error expansion factor Reliability factor

$75,000 $8,000 1.0 2.0

111. MUS sampling interval and sample size Given the following information, calculate the sampling interval and the maximum sample size for accounts receivable when there are 650 accounts and a balance of $750,000.

Tolerable misstatement Expected misstatement Error expansion factor Reliability factor

$40,000 $4,000 1.0 2.0

112. Upper Misstatement Limit What is UML and how it is computed?

113. Sample selection Before procedures using statistical or nonstatistical sampling methods begin, the auditor must determine how the sample will be selected. Discuss the various types of sample selection, when they are used and, generally, how they are used. Give examples.

114. Nonstatistical sampling Describe nonstatistical sampling and how it is used by the auditor.

Chapter 8: Tools Used in Gathering Audit Evidence Key

1. Audit sampling implies the gathering of evidence to use as a basis for making valid inferences about the characteristics of the population as a whole without examining every transaction. TRUE

2. Audit sampling is the application of an audit procedure to less than 100 percent of the items within an account balance or class of transactions for the purpose of evaluating some characteristic. TRUE

3. When performing substantive tests using sampling methods, the auditor's main concern is the risk of incorrect rejection. FALSE

4. The risk of incorrect acceptance of an account balance as correct, when in fact it is not correct, bears directly on the effectiveness of an audit. TRUE

5. The tolerable misstatement is the confidence level needed to infer population values. FALSE

6. Statistical sampling is used when an auditor chooses to examine all purchases of equipment exceeding $1,000.00 and to test the remaining items by analytical procedures. FALSE

7. The most efficient method of testing a large population is the use of nonstatistical sampling. FALSE

8. Statistical sampling assists auditors in determining the sufficiency of evidence gathered. TRUE

9. The use of haphazard selection of a sample allows for random, statistical evaluation. FALSE

10. The tolerable failure rate is the minimum rate of control procedure failure that can occur sufficient to cause the auditor to re-assess the preliminary assessment of control risk to a higher level. FALSE

11. The expected failure rate is the auditor's best estimate of the percentage of transactions processed for which the control procedure is not effectively applied. TRUE

12. An attribute is defined as a characteristic of the population of interest to the auditor. TRUE

13. The sample size decreases as the allowance for sampling error decreases. FALSE

14. For tests of control procedures the most commonly used statistical method is Attribute Sampling. TRUE

15. Increasing the expected failure rate will cause the sample size to increase. TRUE

16. Sample size varies directly with the expected failure rate. TRUE

17. An auditor uses sampling to determine the reasonableness of an account balance by performing detailed analysis of items making up the account balance. TRUE

18. The auditor must define the population to which sampling relates if the auditor is to use statistical sampling for substantive tests of account balances. TRUE

19. The individual auditable elements defined by the auditor are the sampling units. TRUE

20. The classical sampling methods include difference estimation, ratio estimation, and mean-per-unit sampling. TRUE

21. Nonstatistical samples should be based on the same audit considerations as those used for statistical sampling. TRUE

22. Random sampling can be used to determine sample size or evaluate sampling results even if the auditor does not plan on using statistical sampling. TRUE

23. Classical methods of sampling are relatively easier to use than is MUS sampling. FALSE

24. MUS sampling is designed to test whether there is an acceptable risk of account balance understatement. FALSE

25. Monetary unit sampling (MUS) is a widely used statistical sampling method because it results in an efficient sample size and concentrates on the dollar value of the account balances. TRUE

26. The design of MUS sampling requires the auditor to determine audit risk, tolerable misstatement, and the expected misstatement in the account balance. FALSE

27. The design of MUS sampling requires the auditor to determine detection risk, tolerable misstatement, and the expected misstatement in the account balance. TRUE

28. Sampling risk is defined as the risk that an inference drawn from a sample will be incorrect. TRUE

29. If the statistical confidence level is 90 percent, the test of details (TD) risk is 10 percent. TRUE

30. In the formula where I = TM - (EM ´ EEF)/RF; I is the sampling interval in dollars. TRUE

31. In the formula where I = TM - (EM ´ EEF)/RF; I is the sampling interval in number of units. FALSE

32. Population items with a zero balance have the same chance of being chosen as those with dollar balances when using MUS sampling. FALSE

33. Evaluating statistical sample results is one of the task performed by GAAS. TRUE

34. One of the most rigorous approaches to analytical procedures is regression analysis. TRUE

35. Analytical procedures are designed to provide dependent evidence about account balances—to replace the client’s underlying estimation process. FALSE

36. Extracting data from the client’s computer system is one of the tasks performed by GAS. TRUE

37. Statistical sampling combines the theory of probability and statistical inference with audit judgment and experience. TRUE

38. An example of sampling an attribute includes testing a purchase order for the proper signature. TRUE

39. The auditor's tolerable failure rate for Attribute Sampling is the point in which control failures support the planned assessment of audit risk. FALSE

40. Attribute Sampling for testing controls should only be done by the auditor at the end of the fiscal period under audit. FALSE

41. In analysis of the results of audit sampling, an auditor may determine that the sample size must be increased. TRUE

42. Random number, systematic sampling and material value sampling are acceptable sample selection methods for statistical sampling. FALSE

43. Random number, haphazard selection and block sampling are acceptable sample selection methods for nonstatistical sampling. TRUE

44. Random number and systematic sampling are acceptable sample selection methods for statistical sampling. TRUE

45. Using Attribute Sampling the auditor normally tests for multiple attributes using the same source documents. TRUE

46. The audit objective of Attribute Sampling is to test the correctness of an account balance. FALSE

47. Stratification of the population into several homogeneous subpopulations generally creates audit efficiency. TRUE

48. In Attribute Sampling if the achieved upper limit exceeds the tolerable rate the auditor can rely upon the control as working. FALSE

49. In MUS sampling basic precision is the upper misstatement limit when no misstatements are detected in a MUS sample. It is computed by multiplying the sampling interval by the error expansion factor. FALSE

50. In Attribute Sampling if the selected item cannot be located, the auditor considers that control procedure as not working. TRUE

51. Audit sampling is used to obtain evidence about each of the following except A. the effectiveness of control procedures. B. the efficiency of control procedures. C. the dollar accuracy of account balances. D. the dollar accuracy of classes of transactions.

52. Which one of the following accounting constraints supports the concept of audit sampling? A. Conservatism B. Materiality C. Cost-benefit D. Industry practice

53. Which one of the following is not a decision the auditor needs to make about attribute sampling? A. Sample size B. Selection of items included in the sample C. Evaluation of sample information D. Whether to document all phases

54. Which one of the following is a decision the auditor needs to make about attribute sampling? A. Management selection of sample size B. Period covered by testing C. Population size D. Whether to use dollar unit or variables sampling

55. Nonsampling risk includes all of the following except A. misinterpretation of information. B. use of improper audit procedure. C. improper projection of results to the population. D. carelessness of the auditor. E. all of the above.

56. Sampling risk is the risk that A. the sample will not contain characteristics representative of the population such that inferences made about that population will be incorrect. B. the population will not contain characteristics representative of the sample such that inferences made about that sample will be incorrect. C. Neither A nor B is correct. D. Both A and B are correct.

57. Control risk that is assessed excessively high leads to: A. audit inefficiency. B. a less expensive audit. C. reduction of substantive testing. D. errors that are more likely to occur than anticipated.

58. The auditor's risk of concluding that the book value of inventory is correct when it is materially misstated is the risk of A. incorrect rejection. B. incorrect acceptance. C. insufficient sample size. D. none of the above.

59. Incorrect acceptance is directly related to A. the efficiency of the audit. B. the ineffectiveness of the audit. C. the cost of the audit. D. all of the above.

60. The auditor is most concerned with which of the following? A. Risk of incorrect rejection B. Risk of incorrect acceptance C. Risk of excess sample size D. Risk of errors in the population

61. While auditors may use either statistical or nonstatistical sampling, some auditors restrict the use of nonstatistical sampling mainly because it is A. less effective. B. less objective. C. less efficient. D. less risky.

62. Statistical sampling is best known for combining A. binomial and confidence intervals. B. random and haphazard selection. C. hypergeometric distribution with audit risk. D. probability and statistical inference with audit judgment.

63. Which one of the following issues need not be addressed when planning an audit sample to test control procedures? A. Audit objective of the test B. Minimum rate of control procedure failure C. Expected rate of control procedure failure D. Auditor's allowable risk of assessing control risk too low

64. The maximum rate of control procedure failure that can occur and still support the preliminary assessment of control risk is A. tolerable failure rate. B. allowable risk of assessing control risk too low. C. expected failure rate. D. allowance for sampling error.

65. The statistical sampling method most commonly used to test control procedures is A. variable sampling. B. ratio estimation sampling. C. attribute estimation sampling. D. dollar unit sampling.

66. Which one of the following is not a typical step used to implement an attribute estimation sampling plan? A. Define the attributes of interest and what constitutes failure(s) B. Select and audit the sample items C. Evaluate the sample results D. Define the nonstatistical sampling method that is most effective and efficient

67. The sample size varies directly with A. the expected failure rate. B. the tolerable error rate. C. the allowable risk of assessing control risk too low. D. the nonsampling risk.

68. In analyzing misstatements using sampling techniques, the auditor should analyze the misstatements A. qualitatively and quantitatively. B. absolutely and proportionately. C. haphazardly and randomly. D. methodically and systematically.

69. Haphazard sampling is an acceptable method of sampling provided the auditor believes the sample to be A. statistically sound. B. representative of the population. C. representative of the sample. D. in the upper stratum.

70. When determining the sample size, the auditor must realize that for most purposes: A. sampling risk is high. B. tolerable failure rate is predetermined. C. a failure rate is not to be expected. D. population size is not a major factor.

71. The steps used in sampling during substantive testing includes the determination of each of the following except A. the audit objective. B. the method of selecting a sample. C. expected misstatement conditions. D. control failure risk.

72. Nonstatistical sampling may be utilized for Tests of Controls A. Yes Yes B. Yes No C. No No D. No Yes

Substantive Testing

73. Factors that the auditor should consider when choosing between nonstatistical and statistical sampling include A. whether the audit staff is adequately trained to use statistical sampling. B. whether the population lends itself to a random-based selection method. C. whether the auditor wants an objective measure of the risk of drawing a wrong conclusion. D. all of the above.

74. When confirming receivables in testing for overstatements, there are few or no misstatements expected, and the selection is based on dollars, the auditor is likely to use A. MUS sampling. B. stratified mean-per-unit sampling. C. ratio estimation sampling. D. attribute sampling.

75. In MUS sampling, the expected amount of misstatement must be A. greater than tolerable misstatement. B. less than tolerable misstatement. C. equal to tolerable misstatement. D. either A or C.

76. Probability proportional to size sampling is designed to test for overstatement of an account balance while classical variable methods are designed to test for A. both overstatement and understatement. B. understatement only. C. overstatement only. D. exact dollar balances.

77. The probability proportional to size sampling is designed to test for A. overstatements. B. understatements. C. neither understatements nor overstatements. D. either understatements or overstatements.

78. The design of a MUS sample requires the auditor to determine all of the following except A. detection risk. B. inherent risk. C. tolerable misstatement. D. expected misstatement in the account balance.

79. When using MUS sampling, an auditor found that the sampling interval should be $15,755. If selecting the sample manually, the auditor should round the sample interval to A. $16,000. B. $15,000. C. $14,000. D. $10,000.

80. When planning a test of details using MUS sampling, tolerable misstatement is usually set A. higher than planning materiality. B. lower than planning materiality. C. either higher or lower than planning materiality. D. the same as materiality. 81. In MUS sampling, the formula for the sampling interval is A. 010009000003f81d00000000d11d000000000400000003010800050000000b0200000000050000000c022600 85000400000004010d00040000000701030005000000140200000000d11d0000410b2000cc0026008500000000 0026008500000000002800000085000000260000000100180000000000603b0000000000000000000000000000 00000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdfdfdfefefeffffffffff fffdfdfdfffffffdfdfdfdfdfdfefefefffffffefefefffffffffffffffffffffffffffdfffffffffffffffefefefffffffffffffffffffcfffdfffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff00fffffffffffffffffffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

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When using MUS sampling, the auditor will use which of the following formulas to determine maximum sample size? 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83. Which one of the following is a proper course of action for the auditor when the upper misstatement limit exceeds the tolerable misstatement? A. The auditor can ask the client to correct the known misstatements. B. Analyze the detected misstatements for some common problems. C. The auditor can expand the sample. D. All of the above.

84. MUS sampling has all of the following advantages over other statistical methods except which? A. Easier to apply than other statistical sampling approaches. B. Sample sizes are relatively small. C. Sample size is influenced by the standard failure of the population. D. Usually results in a highly efficient sample size. E. None of the above is an advantage.

85. A major disadvantage of MUS sampling is which of the following? A. Sample selection is relatively easy. B. Sample sizes are relatively small. C. It is difficult to test for understatement. D. It directly controls for the risk of incorrect acceptance.

86. When the results of sample testing conclude that there is misstatement in excess of the tolerable misstatement the auditor will usually: A. issue a disclaimer of opinion. B. throw out the sample. C. propose adjustments to the client. D. disclose the misstatement in the client's financial statements.

87. A primary difference in comparing the resulting misstatements analyzed after using statistical methods compared to those using non-statistical methods is that A. statistical methods determine the most likely misstatement while nonstatistical methods determine misstatements by projecting the misstatement found in the sample back to the population. B. statistical methods determine misstatements by projecting the misstatement found in the sample back to the population while nonstatistical methods determine the most likely misstatement. C. statistical methods take a multiple of the estimated misstatement while nonstatistical methods use precision to determine the upper limit. D. statistical methods ignore any sampling error as the probabilities have compensated for them while nonstatistical methods must utilize the sampling error in the projection of the upper limit.

88. When an auditor uses MUS and analyzes misstatements in the lower stratum, the book value will be compared to the audit results in order to derive the: A. audit value. B. tolerable misstatement. C. sampling interval. D. tainting percentage.

89. In attribute sampling, the risk of incorrect acceptance deals with A. effectiveness. B. efficiency. C. reliability. D. Both A and B.

90. In attribute sampling, the risk of incorrect rejection deals with A. effectiveness. B. efficiency. C. reliability. D. Both A and B.

91. Non-sampling risk deals with A. not carrying out the appropriate audit procedure. B. drawing an incorrect inference from the sample results. C. inappropriately diagnosing client’s problems. D. Both A and C.

92. Attribute sampling is used when A. testing rates of deviations of controls. B. testing the reasonableness of account balances. C. need to estimate some amount. D. Both A and B.

93. In sample selection, systematic selection deals with A. each item in the population having an equal chance of selection. B. every nth item being selected after a random start. C. an arbitrary selection with no conscious bias. D. selecting all items on a day or week.

94. In sample selection, haphazard selection deals with A. each item in the population having an equal chance of selection. B. every nth item being selected after a random start. C. an arbitrary selection with no conscious bias. D. selecting all items on a day or week.

95. In sample selection, block sampling deals with A. each item in the population having an equal chance of selection. B. every nth item being selected after a random start. C. an arbitrary selection with no conscious bias. D. selecting all items on a day or week.

96. Sampling risk deals with A. not carrying out the appropriate audit procedure. B. drawing an incorrect inference from the sample results. C. inappropriately diagnosing client’s problems. D. Both A and C.

97. In testing the reasonableness of account balances, MUS sampling is preferred because it provides a smaller sample size. Which of the following are limitations of using the MUS sampling method? A. tests for overstatement. B. zero and negative amounts. C. numerous misstatements. D. all of the above.

98. In testing for the reasonableness of an account balance, if MUS sampling cannot be used because of its limitations, what is an alternative statistical method? A. attribute sampling. B. mean-per-unit sampling. C. discovery sampling. D. all of the above.

99. The upper misstatement limit is computed by adding A. basic Precision B. most Likely Misstatement C. incremental Allowance for Sampling Error D. all of the above

100. Which of the following task is not performed by Generalized audit software? A. Footing a file B. Evaluating statistical sample results C. Checking for gaps in processing sequences D. Preparing custom reports E. All of the above task are performed

101. Dividing the population into relatively homogeneous groups in order to reduce sample size is called A. Ratio estimation. B. Difference estimation. C. Stratification. D. MUS sampling.

102. Sampling factors List the four important decisions an auditor must make when deciding to use sampling. When deciding to use sampling techniques the auditor must decide the following: · · · ·

Population - Which population should be tested and for what characteristics? Sample size - How many items should be selected for audit testing? Selection - Which items should be included in the sample? Evaluation - What inferences can be made about the overall population from the sample?

103. Nonsampling risk What is nonsampling risk and how can it be eliminated? Nonsampling risk includes all aspects of audit risk that are not due to sampling. Nonsampling risk would include using auditors who are not properly trained, inadequate supervision, use of an improper or incorrect audit procedure, or the misinterpretation of information. Nonsampling risk cannot be eliminated on an audit, but it can be guarded against. Implementation of good quality- control practices, carefully designed audit programs, and assignment of qualified personnel to each audit will help minimize nonsampling risk.

104. Risks of sampling in tests of controls Define the following terms as they relate to sampling for tests of controls: 1. 2. 3.

tolerable failure rate expected failure rate allowance for sampling error.

Tolerable failure rate is the level at which the control’s failure to operate would change the auditor’s planned assessment of control risk in performing tests of account balances, or a rate at which the auditor would conclude the failure of the control to operate effectively would be considered a “significant deficiency.” Expected failure rate is the auditor's best estimate of the percentage of transactions processed for which the control procedure is not effectively applied. Allowance for sampling error (precision) is a factor used in planning statistical samples that represents the precision required in the sample to keep sampling risk at the desired level; provides “elbow room” for the difference between sample projections and the actual, but unknown, misstatement in the population.

105. Planning and documentation of sampling use What are the steps to implement an attribute estimation sampling plan? The auditor should include the following in his or her working papers for adequate documentation involving sampling: · · · · · · ·

Define the attributes of interest and what constitutes failure(s). Define the population in terms of the period to be covered by the test, the sampling unit, and the process of assuring the completeness of the population. Determine the sample size, considering tolerable and expected failure rates along with an acceptable sampling risk. Determine an effective and efficient method of selecting the sample. Select and audit the sample items. Evaluate the sample results and reach a conclusion on the audit objectives. Document all phases of the sampling process.

106. Encountering misstatements in the sampling process Explain the term "misstatement" as it applies to sampling during substantive procedures and explain how the term may be interpreted differently by different auditors. A misstatement occurs when the audited value of an item differs from the recorded value. Some auditors define a misstatement as differences in recorded values and audited values that change pre-tax income arising from any nonexcludable misstatements. Others define a misstatement as a difference that affects the account total. Auditors have also concluded that certain types of differences are excludable misstatements. Excludable misstatements include those that the client has independently detected and corrected before the auditor has begun substantive testing and misstatements that the auditor may test fully in another procedure.

107. Choosing sampling methods Identify the factors that an auditor would consider when choosing between nonstatistical sampling and statistical sampling. When choosing between statistical and nonstatistical sampling the auditor would consider: · · · ·

Whether the audit staff is adequately trained to properly use statistical sampling. Whether the added costs of designing, selecting, and evaluating a statistical sample are justifiable in the circumstances. Whether the auditor wants an objective measure of the risk of drawing a wrong conclusion based on the sample. Whether the population lends itself to a random-based selection method.

108. Using MUS sampling Under what conditions would an auditor choose to use MUS sampling? MUS sampling is an adaptation of attribute sampling methods to dollar value testing. It was developed specifically for use in auditing. MUS sampling is most effective when testing for overstatements in situations when few misstatements are expected. Individual book values must be available for testing. The population for MUS sampling is defined as the number of dollars in the account balance being tested. Each dollar in the population has an equal chance of being chosen, but each dollar is associated with a particular item such as an inventory item.

109. MUS calculation Present the formula for the sample interval when using MUS sampling and identify each component of the formula. The fixed interval approach for MUS sampling is: I = {TM - (EM ´ EEF)} / RF, where TM = Tolerable misstatement EM = Expected misstatement EEF = Error expansion factor RF = Reliability factor.

110. MUS calculation applied Given the following information, calculate the sampling interval and the maximum sample size for accounts receivable when there are 550 accounts and a balance of $1,750,000.

Tolerable misstatement Expected misstatement Error expansion factor Reliability factor

$75,000 $8,000 1.0 2.0

The sampling interval is equal to $33,500 and the sample size would be 53, calculated as follows: I = [TM - (EM ´ EEF)] / RF I = [75,000 - (8,000 x 1)]/2 = 33,500 Maximum sample size = 1,750,000/33,500 = 53. [rounded]

111. MUS sampling interval and sample size Given the following information, calculate the sampling interval and the maximum sample size for accounts receivable when there are 650 accounts and a balance of $750,000.

Tolerable misstatement Expected misstatement Error expansion factor Reliability factor

$40,000 $4,000 1.0 2.0

The sampling interval is equal to $18,000 and the sample size would be 42, calculated as follows: I = [TM - (EM ´ EEF)] / RF I = [40,000 - (4,000 x 1)]/2 = 18,000 Maximum sample size = 750,000/18,000 = 42. [rounded]

112. Upper Misstatement Limit What is UML and how it is computed? Upper misstatement limit (UML) is defined as the maximum dollar overstatement that might exist in the population given the misstatements detected in the sample, at the specified detection risk level. UML is computed by adding together three components: Basic Precision - The amount of uncertainty associated with testing only a part of the population (sampling error). It is equal to the UML if no errors are found in the sample. Most Likely Misstatement (MLM) - The best estimate of the actual amount of dollar misstatements that exist in the account balance. This is also called projected misstatement. Incremental Allowance for Sampling Error - An increase in the upper misstatement estimate caused by the statistical properties of misstatements found.

113. Sample selection Before procedures using statistical or nonstatistical sampling methods begin, the auditor must determine how the sample will be selected. Discuss the various types of sample selection, when they are used and, generally, how they are used. Give examples. Random number selection Random number selection is an efficient use of sample selection if random numbers can be related to the population. An example of this is in sampling customer invoices that are sequentially numbered. The sequence can be used as the range for random number selection. Random selection is known to be representative of the population and is required for statistical sampling methods. Systematic selection Systematic selection is also a random technique and is acceptable for statistical methods. It is used when sequential numbering is not used in the population or is difficult to use for sampling. An example of this is in sampling inventory for valuation. If the database table keeps inventory items by a unique product number that has alphanumeric characters, then the product number can be used with systematic selection. However, in order to use systematic selection the auditor must (a) establish that the population is complete, and (b) be sure that there is not a systematic pattern in the population. An interval must be used to sample every nth item in the population. Every item in the population then has an equal chance of being selected. Haphazard selection Items may be arbitrarily selected from the population using no conscious basis. This haphazard selection process is not considered random and is not used in statistical methods. Block sampling Similar to haphazard selection, the auditor may wish to select all transaction in a given day or week. This selection process may not give the auditor the representation of the transactions as they occurred for a more extended period of time.

114. Nonstatistical sampling Describe nonstatistical sampling and how it is used by the auditor. Nonstatistical sampling is based on the same audit considerations as those used for statistical sampling, but it is not controlled mathematically for sampling risk. The auditor just projects misstatement to the population and then decides whether the account is materially misstated or not. Sample size is based on the same factors used in statistical sampling and can be done judgmentally or statistically. The auditor can use the various sample selection methods, e.g., random sampling or haphazard sampling. The auditor then has to evaluate the sample results. While statistical sampling methods automatically builds in an allowance for sampling risk given the defined parameters provided by the auditor, now the auditor has to perform that function. For example, using the example provided in the text, a misstatement of $900 out of a sample of $310,000 given a population of $2,500,000 results in a projected error of $7,258. $900/$310,000 ´ $2,500,000 = $7,258 If tolerable misstatement is $8,000, even though the projected misstatement is less than tolerable misstatement the auditor may still reject the account balance as being materially misstated. However, if tolerable misstatement is $15,000 then the auditor may very well be willing to accept the account balance as not being materially misstated. The point is that now the auditor has to judgmentally evaluate the point at which he would be satisfied to sign off on the appropriateness of the account balance.