If a 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)None of these alternatives is correct.

Question

Quizplus · Accepted Answer

If a hypothesis is not rejected at the 5% level of significance, it means that the observed data is not significant enough to reject the null hypothesis at a 5% level of significance. Since the 1% level of significance is more stringent, it is unlikely that the same data would be significant enough to reject the null hypothesis at a 1% level. Therefore, if a hypothesis is not rejected at the 5% level, it will also not be rejected at the 1% level, making choice A the best answer.

If a Hypothesis Is Not Rejected at the 5% Level