If the probability of committing a Type I error for a given test is to be decreased, then for a fixed sample size n, which of the following statements is true?
A) The power of the test will increase.
B) The probability of committing a Type II error will increase.
C) The probability of committing a Type II error will decrease.
D) A two-tailed test must be used.
E) The probability of committing a Type II error will decrease and a two-tailed test must be used.

Question

Quizplus · Accepted Answer

Decreasing the probability of committing a Type I error (rejecting a true null hypothesis) generally involves making the criteria for rejecting the null hypothesis more stringent. This, in turn, makes it harder to detect a true effect when there is one, thus increasing the probability of committing a Type II error (failing to reject a false null hypothesis).

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