Suppose a clinical trial is conducted to test the efficacy of a new drug, spectinomycin, for treating gonorrhea in females.

Suppose a clinical trial is conducted to test the efficacy of a new drug, spectinomycin, for treating gonorrhea in females. Eighty patients are given a 4-g daily dose of the drug and are seen one week later, at which time 15 of the patients still have gonorrhea. Calculate the 95% confidence interval for p, which is the probability of being cured.