Please help on a question about Bayesian test For the follow

Please help on a question about Bayesian test:

For the following problem of deciding between two simple hypotheses (normal with unknown mean and known variance) by a sample of size 1 (single observation), H0:Xi: N(0,1) H0:Xi: N(2,1) use the test statistic X and determine its critical region for Bayesian test with prior probability P(H0) = 3 / 4

Solution

use the critical region calculator for the probability .75 is 1.33