Question

(3 points) When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply.

A. The chance of committing a Type I error changes from 0.10 to 0.05.

B. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis).

C. The chance that the null hypothesis is true changes from 0.10 to 0.05.

D. It becomes easier to prove that the null hypothesis is true.

E. The chance of committing a Type II error changes from 0.10 to 0.05.

F. The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis).

G. It becomes harder to prove that the null hypothesis is true.

Answer 1

Type I error and level of significance are one and the same

So first correct answer is

A. The chance of committing a Type I error changes from 0.10 to 0.05.

Now if P value <alpha we reject the null hypothesis, so if alpha decreases it becomes harder to reject the null hypothesis, so B is also true

B. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis).

G. It becomes harder to prove that the null hypothesis is true.