1) The quality control manager of a large candy factory considers the production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9%. The control officer states that this is only a sample deviation and that the production line is not really out of control. At the 0.01 level of significance, test the control manager's claim.
Find the Ho, Ha, Test Statistic, alpha, P-value or critical value, give a conclusion, and a statement that identifies a type I error and a type II error. Make sure to show all steps!
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