In a comparative study of two new drugs, A and B, 400 patients were treated with drug A, and 225 patients were treated with drug B. (The two treatrment groups were randomly and independently chosen.) It was found that 312 patients were cured using drug A and 159 patients were cured using drug B. Let p, be the proportion of the population of all patients who are cured using drug A1 and let p2 be the proportion of the population of all patients who are cured using true 6. Find a 90% confidence interyal for p1p2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your resporses to at least three decimal places. (If necessary, consult a Hist of focmides.)