Clarifying a Common Mistake in Using Hypothesis-test

Whether we will accept a hypothesis should be determined by the probability that the hypothesis is right.When we obtain the observed value X of a sample from an experiment,the probability that hypothesis H is right is P(H/X).Therefore,the qualification for receiving H and thereby the method for prescribing the receiving area for H should be P(H/X)≥ e(e is a large enough probability constant).The method is true not only for alternative hypothesis but also for null hypothesis,so it can be proved that the receiving area for null hypothesis is not the surplus set of the receiving area for alternative hypothesis.