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

Question

Quizplus · Accepted Answer

If the null hypothesis is not rejected at the 5% level, it means that there is not enough evidence to reject it with a confidence level of 95%. Therefore, it is possible that the null hypothesis could be rejected at a higher level of significance (such as 1%), but this cannot be guaranteed. Choice B is incorrect because there may be cases where the null hypothesis cannot be rejected even at the 1% level. Choice C is also incorrect because it is misleading to say that the null hypothesis will "sometimes" be rejected at the 1% level, as this depends on the specific hypothesis test being performed. Choice D is incorrect because it is too general and does not provide a specific answer.

If the Null Hypothesis Is Not Rejected at the 5