If the null hypothesis is rejected at the 5% level of significance, it
A) will always be rejected at the 1% level.
B) will always not be rejected at the 1% level.
C) will never be tested at the 1% level.
D) may be rejected or not rejected at the 1% level.

Question

Quizplus · Accepted Answer

If the null hypothesis is rejected at the 5% level of significance, it means that the p-value is less than or equal to 0.05. However, with a lower level of significance such as 1%, the p-value required to reject the null hypothesis is much smaller. Therefore, it is possible that the null hypothesis may still be rejected at the 1% level or it may not be rejected. This depends on the actual p-value obtained from the test. So, the correct answer is D.

If the Null Hypothesis Is Rejected at the 5% Level