Suppose that and that it is desired to test versus (a) Find lower bounds on the posterior probability of Ho and on the Bayes factor for Ho versus Hio bounds which are valid for any gi (using the...

Suppose that

and that it is desired to test

versus

(a) Find lower bounds on the posterior probability of Ho and on the Bayes factor for Ho versus Hio bounds which are valid for any gi (using the notation of (4.14)).

(b) If n = 20,80 = 0.5, and x = 15 is observed, calculate the (two-tailed) P-value and the lower bound on the posterior probability when 7To = 0.5.