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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
- Mohd_NawiLv 68 years agoFavorite 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.
- BeeFreeLv 78 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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