For a given sample size n,if the level of significance $\alpha$ is decreased,the power of the test will:
A) increase.
B) decrease.
C) remain the same.
D) Not enough information to tell.

Question

Quizplus · Accepted Answer

Decreasing the level of significance (alpha) means that we are becoming more stringent in rejecting the null hypothesis. This decreases the chances of a Type I error (rejecting the null hypothesis when it is actually true), but it also decreases the power of the test (the ability to correctly reject the null hypothesis when it is false). Therefore, the power of the test will decrease.

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

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