A clinical trial is conducted to compare an experimental medication to the placebo to reduce the symptoms of asthma. 200 participants are enrolled in the study and randomized to recieve either the experimental medication or placebo. The primary outcome is a self-reported reduction of symptoms. Among 100 participants who received the experimental medication, 38 reported a reduction of symptoms as compared to 21 participants of 100 assigned to the placebo.
a. Generate a 95% CI for the difference in proprotions of particpants reportinga reduction of symptoms between the experimental and placebo groups
b. Estimate the relative risk for the reduction in the symptoms between groups.
c. Estimate the odds ratio for reduction in symptoms between groups.
d. Generate a 95% CI for the Relative Risk.