A man has purchased a premium product of a particular brand

A man has purchased a premium product of a particular brand for many years, and has come to believe that the brand contains less product than advertised. He performs a hypothesis test and calculates that the P-value of a test is 0.022. What conclusion should be made?

A. Fail to reject the null hypothesis at both the = .01 and the = .05 level
B. Fail to reject the null hypothesis at the = .01 level; reject at = .05 level
C. Reject the null hypothesis at the = .01 level; fail to reject at = .05 level
D. Reject the null hypothesis at both the = .01 and the = .05 level

Solution

We reject the null hypothesis when p < significance level.

Thus, we can reject at 0.05 level, but fail to reject at 0.01, at p = 0.022.

Thus, the answer is

OPTION B: Fail to reject the null hypothesis at the = .01 level; reject at = .05 level [ANSWER]