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.