Suppose we are testing H0: p 0.5 versus H0: p 0.5. Suppose that p is the true value of

Chapter 9, Problem 9-129

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Suppose we are testing H0: p 0.5 versus H0: p 0.5. Suppose that p is the true value of the population proportion. (a) Using 0.05, find the power of the test for n 100, 150, and 300 assuming that p 0.6. Comment on the effect of sample size on the power of the test.(b) Using 0.01, find the power of the test for n 100, 150, and 300 assuming that p 0.6. Compare your answers to those from part (a) and comment on the effect of on the power of the test for different sample sizes. (c) Using 0.05, find the power of the test for n 100, assuming p 0.08. Compare your answer to part (a) and comment on the effect of the true value of p on the power of the test for the same sample size and level. (d) Using 0.01, what sample size is required if p 0.6 and we want 0.05? What sample is required if p 0.8 and we want 0.05? Compare the two sample sizes and comment on the effect of the true value of p on sample size required when is held approximately constant.