5. Suppose you wanted to compare the survival distributions of two treat ment groups in a clinical trial. The survival experiences of the patients are noninformatively censored. For the rim of n patients, we observe (U,, 6,, Z,), where U, is the observed portion of the underlying survival time, (5,; is a censoring indicator, and Z, is an indicator of whether the patient is in treatment group 0 (Z; = 0) or treatment group 1 (Z,- = 1). Suppose that the underlying survival times T1, ..., Tn in each group arise from the Weibull distribution with a common shape parameter p, and with scale parameters A0 and A1 for groups 0 and 1, respectively. That is, T, is W()\\0,p) if Z,- : 0 and W()\\1,p) if Z,- : 1. The cumulative hazard function for the Weibull()\\,p) distribution is H(t):()\\t)p. (a) Assume that p, A0, and A1 are unknown. Give the likelihood function for the data. Do not bother including any terms involving the c.d.f. of the censoring distribution