[All Steps] A manufacturer considers his production process to be out of control when defects exceed 3 \%. In a random sample of 85 items, the defect rate


Question: A manufacturer considers his production process to be out of control when defects exceed \(3 \%\). In a random sample of 85 items, the defect rate is \(5.9 \%\) but the manager claims that this is only a sample fluctuation and production is not really out of control. At the $0.01$ level of significance, test the manager's claim.

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