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 medication or the placebo. The outcome is pain relief within 30 minutes. The data are shown in the following table:

1. Generate a 95% confidence interval for the proportion of patients on the new medication who report pain relief.

2. Generate a 95% confidence interval for the difference in proportions of patients who report pain relief.

3. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at 5% level of significance.