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

Question

5. 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. 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

a.Generate a 95% confidence interval for the proportion of patients on the new medication who report pain relief
b.Generate a 95% confidence interval for the difference in proportions of patients who report pain relief.

Explanation / Answer

(a) sample proportion: 65/240 = 0.27 standard error = E = 1.96*sqrt[0.27*0.73/240] = 0.056 95% CI: 0.27-0.056

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