Chapter 8.5, Problem 54E

Consider the large-sample level .01 test in Section 8.4 for testing H₀: p = .2 against H_a: p > .2.

1. a. For the alternative value p = .21. compute β(.21) for sample sizes n = 100, 2500, 10,000, 40,000, and 90,000.
2. b. For $\hat{p}$ = x/n = .21, compute the P-value when n = 100, 2500, 10,000, and 40,000.
3. c. In most situations, would it be reasonable to use a level .01 test in conjunction with a sample size of 40,000? Why or why not?