Type I and Type II Errors and Power of a Statistical Test
Suppose we are testing H0: p = 0.5 versus H1: p ≠0.5. Note that this is a two-sided test.
A. Using critical values of 0.45 and 0.55, calculate the probability of committing a Type I error for n = 50, 100, 200, and 400.
B. Using critical values of 0.40 and 0.60, calculate the probability of committing a Type I error for n = 50, 100, 200, and 400.
C. Using α = 0.05, calculate the probability of a Type II error if p = 0.55, for n = 50, 100, 200, and 400.
D. Using α = 0.05, calculate the probability of a Type II error if p = 0.40, for n = 50, 100, 200, and 400.
Please give the calculated probability for each.