For a given sample size n,if the level of significance ( α )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 (α) means being more stringent in rejecting the null hypothesis. This means that the probability of making a Type I error (rejecting a true null hypothesis) decreases, but the probability of making a Type II error (failing to reject a false null hypothesis) increases. Therefore, the power of the test will decrease.

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