what is the effect on the power of the test for the followin

what is the effect on the power of the test for the following scenarios: A) beta is increased, B) Beta is decreaded, C) alpha is increased, D) alpha is decreased, E) n is increased, F) n is decreased

Solution

A. Beta increased power descreases. Reason beta increases (sensitivity/power decreases as beta = 1 - sensitivity/power)

B. Beta decreases power increases.

C. Alpha increases power increases.

D. Alpha decreases power decreases. Reason  the more stringent (lower) the significance level, the lower the power

E. n increases power increases

F. n decreases power decreases