bayesian test

Let X1, . .., Xn be i.i.d. Poisson ()), and let ) have a gamma (a,3) distribution. The pdf of Gamma(a, B) is given by f (x a, B) = I(a) Bar -e-/ B, a > 0, B > 0, x > 0. Now consider a Bayesian test of Ho : > > do. Find the expressions for the posterior probabilities of Ho and H1