a researcher is testing the efficacy of a new drug to prevent the common cold. Currently those who are not given the drug but are exposed to the common cold have an infection rate of 15%. In a sample of 1000 randomly selected participants, the new drug is administered. In this sample, the mean infection rate is 12% with a standard error of 3 and the sampling distribution is approximately normally distributed. Calculate the 95% CI for the infection rate among people given the new drug using the theory-based method