In a hypothesis test as the population mean gets closer to the hypothesized mean,$\beta$
A) increases.
B) decreases.
C) does not change.
D) becomes the reciprocal of $\alpha$
.

Question

Quizplus · Accepted Answer

As the population mean gets closer to the hypothesized mean, the power of the test decreases, making it harder to reject the null hypothesis when it is false. This leads to an increase in $\beta$, which is the probability of making a Type II error (failing to reject the null hypothesis when it is false).

In a Hypothesis Test as the Population Mean Gets Closer β\betaβ

In a Hypothesis Test as the Population Mean Gets Closer $\beta$