If the Type I error ( $\alpha$ ) for a given test is to be decreased, then for a fixed sample size n
A)the Type II error ( $\beta$ )will also decrease.
B)the Type II error ( $\beta$ )will increase.
C)the power of the test will increase.
D)a one-tail test must be utilized.

Question

Quizplus · Accepted Answer

When the Type I error (α) is decreased, it means the criteria for rejecting the null hypothesis become more stringent. This typically results in a higher chance of not rejecting the null hypothesis when it is false, thus increasing the Type II error (β). The power of the test, which is 1-β, would decrease as a result.

If the Type I Error α\alphaα ) for a Given Test Is to Be Decreased, Then

If the Type I Error $\alpha$ ) for a Given Test Is to Be Decreased, Then