If the probability of committing a Type I error for a given test is decreased,then for a fixed sample size n,the probability of committing a Type II error will:
A)decrease.
B)increase.
C)stay the same.
D)Not enough information to tell.

Question

Quizplus · Accepted Answer

According to the concept of the power of a statistical test, the probability of committing a Type II error is inversely related to the probability of committing a Type I error. Thus, if the probability of committing a Type I error is decreased, the probability of committing a Type II error will increase. This happens because the more stringent the criteria for rejecting the null hypothesis, the more likely it is that the true alternative hypothesis will be accepted, leading to a decrease in the probability of committing a Type I error but an increase in the probability of committing a Type II error.

If the Probability of Committing a Type I Error for a Given