If a hypothesis is not rejected at a 5% level of significance, it will _____.
A) also not be rejected at the 1% level
B) always be rejected at the 1% level
C) sometimes be rejected at the 1% level
D) Not enough information is given to answer this question.

Question

Quizplus · Accepted Answer

If a hypothesis is not rejected at a 5% level of significance, it means that the p-value is greater than or equal to 0.05. Therefore, if we decrease the significance level to 1%, the p-value required for rejection becomes smaller, so there is a higher chance that the hypothesis will not be rejected. However, this does not mean that the hypothesis will always not be rejected at the 1% level as it may still depend on the specific data and test being conducted.

If a Hypothesis Is Not Rejected at a 5% Level