Consider a hypothesis test of the claim that the MicroSort method of gender selection is effective in increasing the likelihood of having a baby girl, so that the claim is p > 0.5. Assume that a significance level of a = 0.05 is used, and the sample is a simple random sample of size n = 64.

a. Assuming that the true population proportion is 0.65, find the power of the test, which is the probability of rejecting the null hypothesis when it is false.
b. Explain why the red-shaded region of the bottom graph represents the power of the test.

Transcribed Image Text:

α = 005 Power P065