Solve the Problem $\beta$ , Given That the True Value of the Population Proportion

Multiple Choice

Solve the problem. A hypothesis test is performed to test the claim that a population proportion is greater than 0.7 . Find the probability of a type II error, $\beta$ , given that the true value of the population proportion is 0.72 . The sample size is 50 and the significance level is 0.05 .

A) 0.4129
B) 0.7123
C) 0.5754
D) 0.9706