answer with explanation

2. Consider the setup of simple hypothesis testing H0 : X ~ 'PD against H1 : X ~ P1 as discussed in lectures. Show that there exists a test 932' such that Eu[*(X)] : 0 and E1["(X)] = 1 if and only if there exists a. subset of the sample space A C X such that 1P0(A) = O and IP1(A) = 1