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I am currently using a one-sided P-value test in a selection between two hypotheses:

H0: null hypothesis

H1: "signal" hypothesis

I know that there are only two possible hypotheses. I have read much in the literature about how the P-value is a bit crappy and a Bayesian model selection can offer the true probabilities, whereas the P-value only lets you reject H0 at a certain significance level.

However, if I reject H0 at say 95% probability, then since there are only 2 possible hypotheses, does this not mean that H1 must be accepted at 95% confidence level too? Afterall, what other possibility is there?

Natski

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# Using a one-sided P-value test in a selection

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