Two researchers, working independently, conduct the same hypothesis test with di

Question

Two researchers, working independently, conduct the same hypothesis test with different samples. Each uses a significance level of 3%. The first researcher’s sample has a P-value of 1.9%; the second researcher’s sample has a P-value of 5.3%

. Select the true statement(s) below. There may be more than one correct answer

A. The second researcher would conclude that the null hypothesis is true.

B. The second sample provides stronger evidence against the null hypothesis.

C. The second researcher would reject the null hypothesis.

D. The first researcher would fail to reject the null hypothesis.

E. The first sample provides stronger evidence against the null hypothesis.

F. The first researcher would reject the null hypothesis.

G. The first researcher would conclude that the null hypothesis is true.

H. The second researcher would fail to reject the null hypothesis.

Explanation / Answer

If the p-value is smaller than the critical value ( significance level) then we reject null hypothesis, otherwise we don't.

So, For 1st researcher we reject Ho. as P-value is 1.9% which is smaller than 3%
So, For 2nd researcher we do not reject Ho. as P-value is 5.3% which is greater than 3%

F and H are right. We never say we 'accept' Ho. We say that there is no evidence to reject Ho due to lack of evidence

F. The first researcher would reject the null hypothesis.

H. The second researcher would fail to reject the null hypothesis.

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