Power of a Test Assume that you are using a significance level of a 5 0.05 to test the claim that p , 0.5 and that your sample is a simple random sample of size n 5 1998 with 5 0.48.

a. Find

b, the probability of making a type II error, given that the population proportion is actually 0.45. (Hint: First find the values of the sample proportions that do not lead to rejection of H0. Then, assuming that p 5 0.45, find the probability of getting a sample proportion with one of those values.)

b. Find 1 2

b, which is the power of the test. If b is the probability of failing to reject a false null hypothesis, describe the probability of 1 2 b