Comparing two treatments.) n1 people are given treatment 1 and n2 people are given treatment 2. Let X1 be the number of people on treatment 1 who respond favorably to the treatment and let X2 be the number of people on treatment 2 who respond favorably. Assume that
(a) Find the mle for ψ.
(b) Find the Fisher information matrix I(p1, p2).
(c) Use the multiparameter delta method to find the asymptotic standard error of
(d) Suppose that n1 = n2 = 200, X1 = 160 and X2 = 148. Find . Find an approximate 90 percent confidence interval for ψ using (i) the delta method and (ii) the parametric bootstrap