In the situation of Exercise 40: (a) Calculate the P-value against (b) Calculate the lower bound on the posterior probability of Ho for any gio and find the corresponding bound on the Bayes factor....

In the situation of Exercise 40:

(a) Calculate the P-value against

(b) Calculate the lower bound on the posterior probability of Ho for any gio and find the corresponding bound on the Bayes factor.

(c) Calculate the lower bound on the posterior probability of Ho for any gi in (4.22), and find the corresponding lower bound on the Bayes factor.

(d) Assume that g_i
is

and graph the posterior probability of Ho as a function of

(e) Compare and discuss the answers obtained in parts (a) through (d).