When conducting a hypothesis test about a population mean at a given level of significance,as the sample size n increases the probability of a Type II error:
A)decreases.
B)increases.
C)may increase or decrease.
D)remains the same.
E)will converge to the probability of a Type I error.

Question

Quizplus · Accepted Answer

As the sample size increases, the standard error of the mean decreases, which results in a narrower sampling distribution. Consequently, the power of the hypothesis test increases, indicating that the probability of rejecting a null hypothesis that is false also increases. Therefore, the probability of a Type II error, which is failing to reject a null hypothesis that is actually false, decreases as the sample size increases.

When Conducting a Hypothesis Test About a Population Mean at a Given