A clinical trial is conducted comparing a new pain reliever for

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:

 

  Pain Relief No Pain Relief
New Medication 44 76
Placebo 21 99

 

    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.

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