SHORT ANSWER Write the word or phrase that best completes ea

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. 31) 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.

Solution

H0: proportions of defects is 3%

H1: the proportion of defects is less than 3%.

z=1.57

p=0.9415

Hence we accept the null hypothesis.