If we decrease the significance level (alpha) all else being equal, the power of the test will:
A) Decrease
B) Increase
C) Won't change
D) It depends - need more information

Question

Quizplus · Accepted Answer

The power of the test is directly proportional to the significance level (alpha). If we decrease the alpha (i.e. make the test more stringent), then the likelihood of making a Type I error decreases, but the likelihood of making a Type II error (i.e. failing to reject a false null hypothesis) increases. Therefore, the power of the test decreases.

If We Decrease the Significance Level (Alpha) All Else Being