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Re:Why I've lost faith in p values by nonbel on Tuesday April 24, 2018 @05:38PM (#16916863)
>"That isn't a question that any statistical approach will help you with. There's a reason we talk in terms of "rejecting" or "failing to reject" a hypothesis. We don't do statistical tests to accept hypotheses, only to reject them."

In (Neyman-Pearson's) hypothesis testing you definitely can accept an hypothesis. This is not true for (Fisher's) significance testing though.

This paper is probably fine to explain it: https://onlinelibrary.wiley.com/doi/pdf/10.1002/0470013192.b...

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