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Which Of The Following Statements Is Correct Concerning Statistical Sampling In Tests Of Controls?
a. Deviations from control procedures at a given rate usually result in misstatements at a higher rate. b. As the population size doubles, the sample size should also double. c. The
qualitative aspects of deviations are not considered by the auditor. d. There is an inverse relationship between the sample size and the tolerable rate.
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Choice "d" is correct. As the auditor's tolerable rate decreases (the auditor cannot accept as large an error rate) , the sample size increases and vice-versa. Therefore, there is an inverse relationship between the sample size and the tolerable rate.
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Which of the following statements is correct concerning statistical sampling in tests of controls?
| a.
| There is an inverse relationship between the expected population deviation rate and the sample size.
|
| b.
| As the population size increases, the sample size should increase proportionately.
|
| c.
| In determining tolerable rate, an auditor considers detection risk and the sample size.
|
| d.
| Deviations from specific control activities at a given rate ordinarily result in misstatements at a lower rate.
|
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Auditing standards permit both statistical and nonstatistical methods of audit sampling.
Table of Contents
- Auditing standards permit both statistical and nonstatistical methods of audit sampling.
- A Type I error is the risk of incorrect acceptance
- A Type II error is the risk of incorrect
acceptance
- Confidence level is the complement of sampling risk
-
Confidence level and sampling risk are related to sample size
- The larger the sample, the lower confidence level and the lower the sampling risk
- Audit sampling is commonly used to gather confirmation audit evidence
- Audit sampling is commonly used to gather scanning audit evidence
- Attribute sampling is used to estimate the proportion of a population that possesses a specified characteristic
- With a nonstatistical sampling application, the auditor relies on professional judgement rather than the laws of probability to reach a conclusion about the audit test
- Which of the following best illustrates the concept of sampling risk?
- A randomly chose sample may not be representative of the population as a whole (regarding the characteristic being tested)
- Jones, CPA, believes the industry wide deviation rate of client billing errors is 3% and has established a tolerable deviation rate of 5%. In the review of client invoices,
Jones should use
- The tolerable deviation rate for a test of controls is generally
- Higher than the expected rate of deviations in the related accounting records
- The risk of incorrect acceptance related to the
- effectiveness of the audit
- The likelihood of assessing control risk too high is the risk that the sample selected to test controls
- Does no support the auditor's planned assessed level of control risk when the true operation effectiveness of internal control justifies such an assessment.
- For which of the following audit tests would an audit tests would an auditor most likely use attributes sampling
- Inspecting employee time cards for proper approval by supervisors
- Harvey Jones, CPA, uses statistical sampling to test control procedures. What is a benefit of using statistical sampling?
- It provides a means of mathematically measuring the sampling risk that result from examining only a part of the data.
- In addition to evaluating the frequency of deviations in tests of controls, an auditor should also
consider certain qualitative aspects of the deviations. The auditor most likely would give broader consideration to the implications of a deviation if it was
- Initially concealed by a forged document.
- An underlying feature of random-based selection of items is that each
- Item in the accounting population should have an opportunity to be selected.
- An auditor plans to examine a sample of 20 checks for countersignatures as prescribed by the client's
internal control procedures. One of the checks in the chosen sample 20 cannot be found. The auditor should consider the reasons for this limitation and
- Treat the missing check as a deviation for the purpose of evaluating the sample
-
An auditor is testing internal control procedures that are evidenced on an entity's vouchers. To select the vouchers for testing, the auditor obtains random numbers between the first and last voucher number in the period. If a random number matches the number of a voided voucher, that voucher ordinarily should be replaced by another voucher in the random sample if the voucher
- Which of the following statements is correct concerning statistical sampling in compliance testing?
- The population size has little or no effect on determining sample size except for very small populations.
- In determining the sample size for at least of controls, an auditor should consider the expected deviation rate, desired confidence level, and the
- Tolerable deviation rate.
- In
attributes sampling, a 10% change in which of the following factors normally will have the least effect on the size of a statistical sample?
- The computed upper deviation rate is
- The sum of the sample deviation rate and an appropriate allowance for sampling risk
- In attributes sampling, population size has little or no effect on sample size once the population exceeds approximately
- A control is deemed to be more important than thought at the time that attributes sampling parameters were set. The auditor is most likely to respond by
- Decreasing the tolerable deviation rate
- If auditors conducting attributes sampling found that the client deviated from a prescribed control in nine of the first 10 items examined, the auditor is most likely to
- Stop the test and increase control risk
- When testing
automated IT controls, the auditor is most likely to do all of the following except
- Increase sample size because the tolerable deviation rate tends to be higher for automated IT controls
- In which of the following cases would the auditor be most likely to conclude that all of the items in an account under consideration should be examined rather than
tested on a sample basis
- Tolerable deviation is small and expected deviation is high
- Which of the following factors does an auditor generally need to consider in planning a particular audit sample for a test of controls?
- Desired confidence level.
- As a result of tests of controls, an auditor incorrectly assessed control risk too low and decreased substantive testing. This assessment occurred because
the true deviation rate in the population was
- More than the deviation rate in the auditor's sample.
- As a result of tests of controls, an auditor over relied on internal control and decreased substantive testing. This over reliance occurred because the true
deviation rate in the population was
- More than the deviation rate in the auditor's sample.
- If the expected deviation rate exceeds the tolerable deviation rate, the auditor is most likely to
- Set control risk at the maximum without sampling
- For an attributes sampling plan, the tolerable deviation rate is 4.5%, the computed upper
deviation rate is 7% , the sample deviation rate is 3% and the desired confidence level is 95%. What is the allowance for sampling risk included in the computed upper deviation rate?
- Based on a 5% risk of assessing
control risk too low, how would an auditor interpret a computed upper deviation rate of 7%
- There is a 5% chance that the deviation rate in the population exceeds 7%
- Auditors who prefer statistical to nonstatistical sampling believe that the principal advantage of statistical sampling flows from its unique ability to
- Mathematically measure uncertainty.
- Which of the following best
describes the distinguishing feature of statistical sampling
- It provides a means for measuring mathematically the degree of uncertainty that results form examining only part of a population.
- Statistical sampling provides a technique for
- Measuring the sufficiency of evidential matter
- Auditors who prefer statistical sampling to nonstatistical sampling may do so because statistical sampling helps the auditor
- Measure the sufficiency of the evidential matter obtained.
- An advantage of using statistical over nonstatistical sampling methods in tests of controls is that the statistical methods
- provide an objective basis for quantitatively evaluating sample risks.
- An auditor who uses statistical sampling for attributes in testing internal controls is most likely to reduce the planned reliance on a prescribed control when the
- Sample deviation rate plus the allowance for sampling risk exceeds the tolerable deviation rate.
- If the size of the sample to be used in a particular test of controls has not been determined by utilizing statistical concepts, but the sample has
been chosen in accordance with random selection procedures
- Depending on the size of the sample chosen, the auditor may actually achieve desired precision.
- When performing a test of controls with respect to control over cash receipts, an auditor may use a
systematic technique with a start at any randomly selected item. The biggest disadvantage of this type of sampling is that the items in the population
- May occur in a systematic pattern, thus destroying the sample randomness
- For attributes sampling, of the three factors that enter into sample size determination, which two factors an the auditor adjust to reflect the importance of the control?
- Tolerable deviation rate and confidence level
- Which of the following combinations
guarantees a larger sample size?
- Increase the desired confidence level and decrease the tolerable deviation rate.
-
For a large population of cash disbursement transactions, Smith, CPA, is testing controls by using attribute sampling techniques. Anticipating an expected deviation rate of 3 percent, Smith found from a table that the required sample size is 400 with a tolerable deviation rate of 5 percent and a desired confidence level of 95 percent. If Smith anticipated an expected deviation rate of only 2 percent but wanted to maintain the same tolerable deviation rate and confidence level, the sample size
would be closest to
- In nonstatistical sampling for tests of controls, increasing the desired confidence level results in a
- To determine the sample size for a test of controls, an auditor should consider the tolerable deviation rate, the desired confidence level, and the
- Expected population deviation rate
- Which of the following
statements is correct concerning statistical sampling in tests of controls
- Deviations from specific internal control procedures at a given rate ordinarily result in misstatements at a lower rate.
- For an attribute sampling plan, the tolerable deviation rate is 4%, the computed upper deviation rate is 7%, the sample deviation rate is
3%, and the risk of assessing control risk too low is 5%. Which of the following is true
- The auditor is likely to increase control risk because the computed deviation rate is greater than the tolerable deviation
rate.
- Which of the following risks is related to effectiveness of testing?
- The
risk of incorrect acceptance
- Which of the following risks is related to efficiency of testing?
- The risk of incorrect rejection
- The term precision relates to
- the difference between expected and tolerable deviation rate
- Audit
sampling is commonly used for which type of audit evidence?
- Audit sampling is not used for which type of audit evidence?
- The following types of audit evidence can be tested using audit sampling techniques
- 1. Inspection of tangible assets2. Inspection of records or documents3. Reperformance4. Confirmation
A Type I error is the risk of incorrect acceptance
A Type II error is the risk of incorrect acceptance
Confidence level is the complement of sampling risk
The larger the sample, the lower confidence level and the lower the sampling risk
Audit sampling is commonly used to gather confirmation audit evidence
Audit sampling is commonly used to gather scanning audit evidence
Attribute sampling is used to estimate the
proportion of a population that possesses a specified characteristic
With a nonstatistical sampling application, the auditor relies on professional judgement rather than the laws of probability to reach a conclusion about the audit test
Which of the following best illustrates the concept of sampling risk?
A randomly chose sample may not be representative of the population as a whole (regarding the characteristic being tested)
Jones, CPA, believes the industry wide deviation rate of client billing errors is 3% and has established a tolerable deviation rate of 5%. In the review of client invoices, Jones should use
The tolerable
deviation rate for a test of controls is generally
Higher than the expected rate of deviations in the related accounting records
effectiveness of the audit
The likelihood of assessing control risk too high is
the risk that the sample selected to test controls
Does no support the auditor's planned assessed level of control risk when the true operation effectiveness of internal control justifies such an assessment.
For which of the following audit tests would an audit tests would an auditor most likely use attributes sampling
Inspecting employee time cards for proper approval by supervisors
Harvey Jones, CPA, uses statistical sampling to test control procedures. What is a benefit of using statistical sampling?
It provides a means of mathematically measuring the sampling risk that result from examining only a part of the data.
In addition to evaluating the frequency of deviations in tests of controls, an auditor should also consider certain qualitative aspects of the deviations. The auditor most likely would give broader consideration to
the implications of a deviation if it was
Initially concealed by a forged document.
An underlying feature of random-based selection of items is that each
Item in the accounting population should have an opportunity to be selected.
An auditor plans to examine a sample of 20 checks for countersignatures as prescribed by the client's internal control procedures. One of the checks in the chosen sample 20 cannot be found. The auditor should consider the reasons
for this limitation and
Treat the missing check as a deviation for the purpose of evaluating the sample
An auditor is testing internal control procedures that are evidenced on an entity's vouchers. To select the vouchers
for testing, the auditor obtains random numbers between the first and last voucher number in the period. If a random number matches the number of a voided voucher, that voucher ordinarily should be replaced by another voucher in the random sample if the voucher
Which of the following statements is correct concerning statistical sampling in compliance testing?
The population size has little or no effect on determining sample size except for very small populations.
In determining the sample size for at least of controls, an auditor should consider the expected
deviation rate, desired confidence level, and the
Tolerable deviation rate.
In attributes sampling, a 10% change in which of the following factors normally will have the least effect on the size of a statistical sample?
The computed upper deviation rate is
The sum of the sample deviation rate and an appropriate allowance for sampling risk
In attributes sampling, population size has little or no effect on sample size once
the population exceeds approximately
A control is deemed to be more important than thought at the time that attributes sampling parameters were set. The auditor is most likely to respond by
Decreasing the tolerable deviation rate
If auditors conducting attributes sampling found that the client deviated from a prescribed control in nine of the first 10 items examined, the auditor is most likely to
Stop the test and increase control risk
When testing automated IT controls, the auditor is most likely to do all of the following except
Increase sample size because the tolerable deviation rate tends to be higher for automated IT controls
In which of the following cases would the auditor be most likely to conclude that all of the items in an account under consideration should be examined rather than tested on a sample basis
Tolerable deviation is small and expected
deviation is high
Which of the following factors does an auditor generally need to consider in planning a particular audit sample for a test of controls?
Desired confidence level.
As a result of tests of controls, an auditor incorrectly assessed control risk too low and decreased substantive testing. This assessment occurred because the true deviation rate in the population was
More than the deviation
rate in the auditor's sample.
As a result of tests of controls, an auditor over relied on internal control and decreased substantive testing. This over reliance occurred because the true deviation rate in the population was
More than the deviation rate in the auditor's sample.
If the expected deviation rate exceeds the tolerable deviation rate, the auditor is most likely to
Set control risk at the maximum without sampling
For an attributes sampling plan, the tolerable deviation rate is 4.5%, the computed upper deviation rate is 7% , the sample deviation rate is 3% and the desired confidence level is 95%. What is the allowance for sampling risk
included in the computed upper deviation rate?
Based on a 5% risk of assessing control risk too low, how would an auditor interpret a computed upper deviation rate of 7%
There is a 5% chance that the deviation rate in the population exceeds 7%
Auditors who prefer statistical to nonstatistical sampling believe that the principal advantage of statistical sampling flows from its unique ability to
Mathematically measure uncertainty.
Which of the following best describes the distinguishing feature of statistical sampling
It provides a means for measuring mathematically the degree of uncertainty that results form examining only part of a population.
Statistical sampling provides a technique for
Measuring the sufficiency of evidential matter
Auditors who prefer statistical sampling to nonstatistical sampling may do so because statistical sampling helps the auditor
Measure the sufficiency of the evidential matter obtained.
An advantage of using statistical over nonstatistical sampling methods in tests of controls is that the statistical methods
provide an
objective basis for quantitatively evaluating sample risks.
An auditor who uses statistical sampling for attributes in testing internal controls is most likely to reduce the planned reliance on a prescribed control when the
Sample deviation rate plus the allowance for sampling risk exceeds the tolerable deviation rate.
If the size of the sample to be used in a particular test of
controls has not been determined by utilizing statistical concepts, but the sample has been chosen in accordance with random selection procedures
Depending on the size of the sample chosen, the auditor may actually achieve desired precision.
When performing a test of controls with respect to control over cash receipts, an auditor may use a systematic technique with a start at any randomly selected item. The biggest disadvantage of this type of sampling is that the items in the
population
May occur in a systematic pattern, thus destroying the sample randomness
For attributes sampling, of the three factors that enter into sample size determination, which two factors an the auditor
adjust to reflect the importance of the control?
Tolerable deviation rate and confidence level
Which of the following combinations guarantees a larger sample size?
Increase the desired confidence level and decrease the tolerable deviation
rate.
For a large population of cash disbursement transactions, Smith, CPA, is testing controls by using attribute sampling techniques. Anticipating an expected deviation rate of 3 percent, Smith found from a table that the required sample size is 400 with a tolerable deviation rate of 5 percent and a desired confidence level of 95 percent. If Smith anticipated an expected deviation rate of only 2 percent but wanted to maintain the same tolerable deviation rate and confidence level, the sample size
would be closest to
In nonstatistical sampling for tests of controls, increasing the desired confidence level results in a
To determine the sample size for a test of controls, an
auditor should consider the tolerable deviation rate, the desired confidence level, and the
Expected population deviation rate
Which of the following statements is correct concerning statistical sampling in tests of controls
Deviations from specific internal control procedures at a given rate ordinarily result in misstatements at a lower rate.
For an attribute sampling plan, the tolerable deviation rate is 4%, the computed upper deviation rate is 7%, the sample deviation rate is 3%, and the risk of assessing control risk too low is 5%. Which of the following is true
The auditor is likely to increase control risk because the computed deviation rate is greater than the tolerable deviation rate.
The risk of incorrect acceptance
The risk of incorrect rejection
The term precision relates to
the difference between expected and tolerable deviation rate
Audit sampling is commonly used for which type of audit evidence?
Audit sampling is not used for which type of audit evidence?
The following types of audit evidence can be tested using audit sampling techniques
1. Inspection of tangible assets2. Inspection of records or documents3. Reperformance4. Confirmation
Which of the following statements are ordinarily correct about the sample size in statistical sampling when testing controls?
Which of the following statements is ordinarily correct about the sample size in statistical sampling when testing controls? The population size has little effect on the sample size.
Which type of sampling should be used to test controls?
Attribute sampling is used in audit procedures, helping analyze the characteristics of a given population. This statistical process helps determine whether internal controls are being followed.
Which of the following best describes the distinguishing feature of statistical sampling?
Which of the following best describes the distinguishing feature of statistical sampling? It provides for measuring mathematically the degree of uncertainty that results from examining only a part of the data.
In which of the following cases would the auditor determines that statistical sampling should not be performed?
Reperformance. In which of the following cases would the auditor determine that statistical sampling should not be performed? Tolerable deviation is small and expected population deviation is high.