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Company X is reviewing compliance with its internal control policies and procedures. The internal auditors at Company X have a policy that average instances of

Company X is reviewing compliance with its internal control policies and procedures. The internal auditors at Company X have a policy that average instances of noncompliance with internal controls should be less than 10%. If average instances of noncompliance with internal controls is less than 10%, the internal auditors at Company X conclude that internal control policies and procedures are operating effectively. In order to determine the effectiveness of internal control policies and procedures, the internal auditors at Company X drew a random sample of transactions from different areas on the financial statements and noted the percentage of instances internal controls were not followed. The results of this analysis are:

4 15 11 7 5 9 4 3 5 8 

Can the internal auditors at Company X infer (at the 10% significance level) that the mean proportion of instances of noncompliance with internal controls is less than 10%?

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