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An auditor desired to test credit approval on 10,000 sales invoices processed during the year. The auditor designed a statistical sample that would provide a 1% risk of assessing control risk too low (99% confidence) that not more than 7% of the sales invoices lacked approval. The auditor estimated from previous experience that about 2.5% of the sales invoices lacked approval. A sample of 200 invoices was examined and seven of them were lacking approval. The auditor then determined the achieved upper precision limit to be 8%.
In the evaluation of this sample, the auditor decided to increase the level of the preliminary assessment of control risk because the:
A. tolerable rate (7%) was less than the achieved upper precision limit (8%).
B. expected deviation rate (7%) was more than the percentage of errors in the sample (3.5%).
C. achieved upper precision limit (8%) was more than the percentage of errors in the sample (3.5%).
D. expected deviation rate (2.5%) was less than the tolerable rate (7%).”
The auditor made a preliminary judgment that up to 7% of the sales invoices lacking approval would be acceptable. Thus, the tolerable deviation rate was 7%. Since the achieved upper precision limit or achieved deviation rate of sample was 8%, the auditor would either have to conclude the control procedure of credit approval was unacceptable or increase the preliminary assessment of control risk to allow for a decrease in the achieved upper precision limit to a level below the tolerable deviation rate.
Why does a deviation rate of 8% mean that the controls are unacceptable? How is that related?
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