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P-values, levels of significance

Are there general levels when p- values are considered not significant, < .01?

if P < level of significance

ex: P = 0.02 vs level of significance 95% (0.05) then the value is good

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So a lower p value means there's a better chance of it being significant, all else equal?

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Lower P means more likely to get reject. Guys with small P's always get rejected.

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if P = .05 it means you can say its true with 95% confidence
So if P<.01 is means you can say its true with greater than 99% confidence

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