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1-Prop Hypothesis Test 09 A clinic believes that a majority of migraine prone pa

ID: 2908601 • Letter: 1

Question

1-Prop Hypothesis Test 09 A clinic believes that a majority of migraine prone patients would benefit for Botox therapy and see a complete migraine elimination. A study examined the effectiveness of Botox injections in the corrugator supercili muscles for the treatment of chronic migraines. Of the 29 migraine-prone patients participating in the study, 16 reported complete migraine elimination Please select all the TRUE statements below Answer 1. Ho: p>50 20 Ho:ps.50 H1: p s .50 H1: p > .50 3.For this hypothesis test P-value 2887 4Since P-value

Explanation / Answer

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Q1.

Option 2 is the correct hypothesis.

This is because claim goes to the alternate hypothesis.

Please observe that this is a one tailed, right tailed test.

We have p = 16/29 = .552

P0 = population proportion = 1/2 = .50

Therefore, t = p-p0/ sqrt(p0*p0'/n) = (.552-.50)/sqrt(.5*.5/29) = .56

P value is p(t>.56) is .2887, which is got from t tables.

Hence, option 3 is correct.

Now, assuming .05 level of alpha we have pvalue of .2887 is more than .05 and hence we fail to reject null hypothesis.

Option 4 is wrong and 5 is correct.

Options 2 , 3 and 5 are correct.