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Topic: p-value < alpha, correct to reject the Null!
Replies: 2   Last Post: Nov 12, 2012 6:47 PM

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Luis A. Afonso

Posts: 4,758
From: LIsbon (Portugal)
Registered: 2/16/05
Re: p-value < alpha, correct to reject the Null!
Posted: Oct 29, 2012 9:31 PM
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I guess (who can be sure in this instance?) the impossibility some people to believe that the p-value < alpha condition leads to reject the null Hypothesis H0 is that, in fact, there is not a logic necessity connexion between p-value and the cut-off preset alpha.
We are, evidently, dealing with an induction, not at all with a deductive question: if the null is true there is only a tiny probability, say 5%, to get a significant output, i.e., a p-value less than alpha. Once we observe such a result we decide inductively, that H0 is very unlike to be true.

Luis A. Afonso

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