Can you tell me if my answer to this question on my homework assignment is correct and provide an explanation?
A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new treatment or a placebo and the outcome is pain relief within 30 minutes. The data are shown below.
Pain Relief No Pain Relief
New Medication 44 76
Placebo 21 99
Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.
Reject H0 if Z < __-1.96______ or if Z > ___1.96_____
alpha= ____0.05____
P = __.271______
P1 = __.367______
P2 = __.175______ Z=P1-P2/square root of ((p(1-p) (1/n1+1/n2))
Z = ___3.43_____ Z= .367-.175/square root of (.271)(.729) (.016)=.192/.056.
Z= 3.43
Based on comparing the computed z to the rejection level z which of the following is (are) true?
A. We have statistically significant evidence at alpha=0.05 to show that H0 is false.
B. We have statistically significant evidence at alpha=0.05 to show that there a significant difference in the proportions of patients reporting pain relief.
C. We do not have statistically significant evidence at alpha=0.05 to show there a significant difference in the proportions of patients reporting pain relief.
D. a and b (my answer)
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