Solved: Calculating Power Consider a hypothesis test of

Chapter 8, Problem 36

(choose chapter or problem)

Calculating Power Consider a hypothesis test of the claim that the MicroSort methodof gender selection is effective in increasing the likelihood of having a baby girl, so that theclaim is p 7 0.5. Assume that a significance level of a = 0.05 is used, and the sample is asimple random sample of size n = 64.a. Assuming that the true population proportionis 0.65, find the power of the test, which isthe probability of rejecting the null hypothesiswhen it is false. (Hint: With a 0.05 significancelevel, the critical value is z = 1.645, so any teststatistic in the right tail of the accompanyingtop graph is in the rejection region where theclaim is supported. Find the sample proportionpn in the top graph, and use it to find the powershown in the bottom graph.)b. Explain why the red-shaded region of thebottom graph represents the power of the test