According to CDC, 15.3% of American adults experience migraine headaches. Stress

Question

According to CDC, 15.3% 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 reduces the frequency and intensity of migraine headaches. Determine the null and alternative hypothesis that can be used to test the effectiveness of the therapist's techniques. A sample of 800 American adults who took part in the massage therapist's program result in a data that indicates that the null hypothesis should rejected. Provide a statement that supports the therapist's program. Suppose the actual percentage of patients in the program who experience migraine headaches is 15.3%. What type error was committed?

Explanation / Answer

a)

Ho : p = 0.153

Ha : p < 0.153

b)

for alpha = 0.05   Z = -1.64

-1.64 = ( p - 0.153 ) / ( srqt 0.153*0.847 / 800 )

p = 0.1321

if p = 0.1321 in the sample that means 0.1321*800 = 105.68 = 106

if at most 106 american adults say that experience migraine headaches with the massage therapists program that result that the null hypothesis shoudl preejced

c)

the error that you committed was type I error , reject Ho when infact Ho is true

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