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Math Help - I dont really understand p values/rejecting the null hypothesis...help please!

  1. #1
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    I dont really understand p values/rejecting the null hypothesis...help please!

    Hi,

    I'm learning hypothesis testing, and one thing doesn't make sense to me. I've learned that if there's a REALLY low p value (at an end of the normal distribution), then we reject the null hypothesis (Ho) for Ha.

    My reasoning is: once I get the p value for the alternative hypothesis that I want to test, if there's a large "chunk" of the curve (thus a high p val), to the right for example, that would mean there's a good probability that the mean is > than the null hypo. Apparently it's the contrary. My professor said that it's because the p value is the possibility that it happens by chance, and thus it should be low to accept Ha. However, I'm having trouble visualizing that concept when I'm thinking in terms of the bell curve.

    Could somebody please explain why this is so?

    I appreciate it!
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  2. #2
    MHF Contributor matheagle's Avatar
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    First of all, this > happens only if the alternative hypothesis has a > (and when you're testing means..)
    The p-value tell you how far out in the tails your test statistic lies.
    So if the p-value is really small, then the data indicates that the null hypothesis may be wrong.
    Last edited by matheagle; March 30th 2010 at 06:46 PM.
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