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AP Statistics Question - Alpha Levels and Null Hypotheses?

When doing tests of significance, if your z-score is above the alpha level, do you reject or accept the null hypothesis?

3 Answers

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  • 8 years ago
    Favorite Answer

    Slight confusion here.

    your z-score is above the alpha level?

    1. suppose to have said - your z-score is above the critical z (assume one-tailed right)

    2. your p-value is smaller than the alpha level

    1 refers to the classical way to get the result of test

    2 refers to the modern way to get the result of test

    If any of 1 or 2 happens then reject H0, else, then do not reject H0.

  • 8 years ago

    Alyssa

    z-scores (such as 1.5 or -2) are not comparable to alpha (such as 0.05 or 0.01).

    But, if you mean you found the "critical region" for alpha (for example a 5% alpha has critical region of +/- 1.96 for a 2-tailed test), then the answer is ...

    If positive z-score > critical value, REJECT

    If negative z-score < critical value REJECT

    For example, if z = 2.05 > 1.96, REJECT. Similarly if z = -2.05 < -1.96, REJECT.

    Hope that helps

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    5 years ago

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