If the Type I error ( ? )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 generally leads to an increase in the Type II error (β), assuming the sample size remains constant. This is because there's a trade-off between the two types of errors; reducing the probability of one increases the probability of the other when the sample size is fixed.

If the Type I Error ( ? )For a Given β\betaβ

If the Type I Error ( ? )For a Given $\beta$