Question: It is important to understand that there are two kinds of errors that can be made when using a hypothesis test: the usual significance level \(\alpha \) measures one kind of error, called a Type I error, and the value β measures the other kind of error, called a Type II error.

Given: You are using a significance level of \(\alpha \) = 0.05 to test a claim that p > 0.5. Your sample is a simple random sample of size n = 49.

Task:

Calculate β for the test, assuming that the true population proportion is 0.7 and showing all work.