Evan Kristopher, CPA intends to use probability-proportional-to-size sampling. He has properly selected and audited a sample of 100 accounts receivable from his client’s population of 3,000 accounts.  He calculated a sampling interval of $6,000 and the tolerable misstatement for the account is $30,000.   Evan also recalls that “basic precision” is equal to the appropriate reliability factor multiplied times the sampling interval.  He wishes to accept a risk of incorrect acceptance of 10%.   He found that 97 of the 100 accounts in the sample were properly calculated.  However, the following three errors existed:   Book Value   Audited Value       $75   $70 1,000   750 9,300   6,720   Required:   Calculate the projected misstatement. Calculate the basic precision. Calculate the incremental allowance. Calculate the upper limit on misstatement. What would the auditors’ conclusion be for the population based on the analysis?

Auditing: A Risk Based-Approach (MindTap Course List)
11th Edition
ISBN:9781337619455
Author:Karla M Johnstone, Audrey A. Gramling, Larry E. Rittenberg
Publisher:Karla M Johnstone, Audrey A. Gramling, Larry E. Rittenberg
Chapter8: Specialized Audit Tools: Attributes Sampling, Monetary Unit Sampling, And Data Analytics Tools
Section: Chapter Questions
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  1. Evan Kristopher, CPA intends to use probability-proportional-to-size sampling. He has properly selected and audited a sample of 100 accounts receivable from his client’s population of 3,000 accounts.  He calculated a sampling interval of $6,000 and the tolerable misstatement for the account is $30,000.

 

Evan also recalls that “basic precision” is equal to the appropriate reliability factor multiplied times the sampling interval.  He wishes to accept a risk of incorrect acceptance of 10%.

 

He found that 97 of the 100 accounts in the sample were properly calculated.  However, the following three errors existed:

 

Book Value

 

Audited Value

 

 

 

$75

 

$70

1,000

 

750

9,300

 

6,720

 

Required:

 

  1. Calculate the projected misstatement.
  2. Calculate the basic precision.
  3. Calculate the incremental allowance.
  4. Calculate the upper limit on misstatement.
  5. What would the auditors’ conclusion be for the population based on the analysis?

 

 

 

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