If a hypothesis is rejected at the 5% level of significance, it
A)will always be rejected at the 1% level
B)will always be accepted 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 a hypothesis is rejected at the 5% level of significance, it means that the probability of obtaining the observed results by chance is less than or equal to 5%. However, if we test the same hypothesis at a higher level of significance (1%), the probability threshold for rejecting the null hypothesis becomes stricter. Therefore, we cannot conclude whether the hypothesis will be rejected or not at the 1% level without conducting the test. Hence, option D is the best choice.

If a Hypothesis Is Rejected at the 5% Level of Significance