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 in table:

                                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.