A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo.

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 < _______ or if Z > ________

alpha= ________

= ________
= ________
= ________
Z = _______

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

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