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P-value and testing hypothesis

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  • #52170

    royes
    Member

    I think p value as the estimated  chance of rejecting a true null hypothesis based on the data obtained. Significance level as the acceptable chance of a true null hypothesis.  Then, why do we reject H0 if p value is less than significance level?

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    #183195

    Sloan
    Participant

    Royes,
    When you establish your alpha risk level (i.e. p = 0.05) what you are saying in paractical terms is that you do not want to reject the null hypothesis until you are 95% sure it is safe to do so. Or the inverse, you are only willing to take up to a 5% chance that rejecting the null is the wrong thing to do. So if the p-value is less than .05 (less than 5% chance) then you can safely reject the null and accept the alternate hypothesis based on the data you have collected.
    That is somewhat of an over simplified explanation, but hopefully that helps.

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