AP Statistics Question - Alpha Levels and Null Hypotheses
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AP Statistics Question - Alpha Levels and Null Hypotheses

[From: ] [author: ] [Date: 13-03-22] [Hit: ]
then do not reject H0.z-scores (such as 1.5 or -2) are not comparable to alpha (such as 0.05 or 0.01).But,......
When doing tests of significance, if your z-score is above the alpha level, do you reject or accept the null hypothesis?

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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.

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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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