Before Being Released to Market, a Drug Company Tests a New

Essay

Before being released to market, a drug company tests a new allergy medication for
potential side effects. A random sample of 160 individuals with allergies was selected for
the study. The new allergy medication was randomly assigned to 80 of them, and another
popular allergy medication already on the market (Brand C) was assigned to the rest. Out
of the 80 given the new allergy medication, 14 reported drowsiness; 22 of the 80 taking
Brand C reported drowsiness. Compute the 95% confidence interval for the difference
in proportions reporting drowsiness. Interpret.