According to the Centers for Disease Control, 15.2% of American adults experience migraine headaches. Stress is a major contributor to the frequency and intensity of headaches. A massage therapist feels that she has a technique that can reduce the frequency and intensity of migraine headaches.
(a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the massage therapist’s techniques.
(b) A sample of 500 American adults who participated in the massage therapist’s program results in data that indicate that the null hypothesis should be rejected. Provide a statement that supports the massage therapist’s program.
(c) Suppose, in fact, that the percentage of patients in the program who experience migraine headaches is 15.3%. Was a Type I or Type II error committed?