Consider the large-sample level .01 test in Section 8.4 for testing H0: p = .2 against Ha: p > .2.
a. For the alternative value p = .21, compute β(.21) for sample sizes n = 100, 2500, 10,000, 40,000, and 90,000.
b. For  = x/n = .21, compute the P-value when n = 100, 2500, 10,000, and 40,000.
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?