. Inference for a 2 x 2 table: an experiment was performed to estimate the eifect of beta- blockers on mortalit}r of cardiac patients. A group of patients were randomly assigned to treatment and control groups: out of 674 patients receiving the control, 39 died, and out of SG receiving the treatment, 22 died. Assume that the outcomes are independent and binomiall}r distributed, with probabilities of death of pa and p1 under the control and treatment, respectively. We return to this example in Section 5.6. (a) Set up a noninformative prior distribution on (p0, p1} and obtain posterior simulations. [b] Smnmarize the posterior distribution for the odds ratio, (331,! {1 p1))f(paf(l 3311)). {c} Discuss the seasitivity of your inference to your choice of noninformative prior density