100 people are given a new antibiotic to treat an infection, and another 100 are given the standard treatment. In the first group, 90 people recover; in the second group, 83 people recover. Let p1 be the probability of recovery under the new treatment and let p2 be the probability of recovery under the standard treatment. We are interested in estimating θ=p1−p2. Provide an estimate, standard error, and a 95% confidence interval. What can you conclude about the efficacy of the new treatment relative to the standard one?