Does ginkgo biloba enhance memory? In an experiment to find out, subjects were a

Question

Does ginkgo biloba enhance memory? In an experiment to find out, subjects were assigned randomly to take ginkgo biloba supplements or a placebo. Their memory was tested to see whether it improved. A hypothesis test for two population means consisted of the following hypotheses. H_0: mu_g - mu_p = 0 (The mean memory test scores for people taking ginkgo biloba and people not taking it are the same.) H_A: mu_g - mu_p > 0. Suppose the hypothesis test resulted in a P-value of 0.35 a. State your conclusion about the effectiveness of ginkgo biloba. b. Proponents of ginkgo biloba continue to insist that it works. What type of error do they claim your conclusions make?

Explanation / Answer

(a) Since P value is large enough we retain the null hypothesis and conclude that

The mean memory test scores for people taking ginkgo biloba and people not taking it are the same.

(b) Since we retained false null hypothesis, we made type II error.

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