If the null hypothesis is not rejected at the 5% level of significance, it
A) will also not be rejected at the 1% level.
B) will always be rejected at the 1% level.
C) will sometimes be rejected at the 1% level.
D) may be rejected or not rejected at the 1% level.

Question

Quizplus · Accepted Answer

If the null hypothesis is not rejected at the 5% level of significance, it means that the p-value is greater than 0.05. Since the 1% level of significance is more stringent than the 5% level, the p-value required to reject the null hypothesis at the 1% level will be smaller than at the 5% level. Therefore, if the null hypothesis is not rejected at the 5% level, it will also not be rejected at the 1% level. Hence, option A is correct.

If the Null Hypothesis Is Not Rejected at the 5