In a hypothesis test, the probability of a type II error for a given alternative parameter value is known to be 0.45.Assuming this alternative value is correct, what is the probability of correctly rejecting the null hypothesis (the power of the test)?
A) power = 0.45
B) power = 0.55
C) power = 1
D) We cannot determine the power without more information.

Question

Quizplus · Accepted Answer

The power of the test is equal to 1 - the probability of a Type II error. Since the probability of a Type II error is 0.45, the power of the test is 1 - 0.45 = 0.55. Therefore, the answer is B.

In a Hypothesis Test, the Probability of a Type II