In a comparative study of two new drugs, A and B, 400 patients were treated with drug A, and 200 patients were treated with drug B. (The two treatment groups were randomly and independently chosen.) It was found that 292 patients were cured using drug A and 154 patients were cured using drug B. Let p1 be the proportion of the population of all patients who are cured using drug A, and let p2 be the proportion of the population of all patients who are cured using drug B. Find a 95% confidence interval for p1p2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: