For a given sample size n, if the level of significance ( $\alpha$ ) is decreased, the power of the test
A)will increase.
B)will decrease.
C)will remain the same.
D)cannot be determined.

Question

Quizplus · Accepted Answer

Decreasing the level of significance (alpha) makes the criteria for rejecting the null hypothesis more stringent, thus reducing the likelihood of a Type I error (incorrectly rejecting a true null hypothesis). However, this also makes it harder to detect a true effect when one exists, effectively reducing the power of the test, which is the probability of correctly rejecting a false null hypothesis.

For a Given Sample Size N, If the Level of Significance