# Thread: Point null hypothesis in Bayesian statistics

1. ## Point null hypothesis in Bayesian statistics

Let and 5 independent observations . The prior probability that is
. The remain values of are given the density of .

a)Assume test the hypothesis

From what I learn to make a hypothesis test I need to find
such that
and reject if
In the cases where the null hypothesis is not a point I can make, but in this case I have a few doubts.

From the notes that I take there is the theorem below

Theorem: For any prior such that
then
where
usually

In this case but the distribution of doesn't make sense to me, in one example that I look they take but I don't understood the logic.

I need to use the distribution of the likelihood estimator supposing that ?

If someone can give me a explanation with details on how it works I really appreciate, I already read in the textbook but I don't understood.

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