Question

If we switch from the .05 criterion of significance to the .01 criterion, the power of the statistical test:

A. becomes larger.

B. becomes smaller.

C. remains the same.

Answer 1

Changing the significance level from 0.05 to 0.01 makes the region of acceptance bigger, which makes the hypothesis test less likely to reject the null hypothesis, thus decreasing the power of the test.

As power =1-b(b is type II error)

As level of significance in decreases type II error increase & power= 1-type II error, so power gets decrease.

Or vice versa

Changing the significance level from 0.01 to 0.05 makes the region of acceptance smaller, which makes the hypothesis test more likely to reject the null hypothesis, thus increasing the power of the test.

So here it changes from 0.05 to 0.01.so power will get decreased.

Answer:- power become smaller.

B. Becomes Smaller