Suppose = (00-b, 00+b) and = 6. It is desired to test H: versus H: 01, with a prior as in (4.13). Suppose the

Suppose = (00-b, 00+b) and ₁ = 6. It is desired to test H: versus H₁: 01, with a prior as in (4.13). Suppose the likelihood function, f(x0),satisfies |f(x0)- y≤& on (for the observed x, of course). Letting m(x)= [ (x\0)dF*(0)

defining ao to be the posterior probability of O, and letting a denote the posterior probability that would arise from replacing by the point {00} and giving it probability 7o, while leaving the prior specification on unchanged

(note that points in other than 0 are thus given zero density), show that 2€πM₁(x) 10- o[(y+m(x)/ п0)²-²]