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education/statistics/Hypothesis Tests.md
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@ -8,8 +8,9 @@ This test can be used if:
If an observed value is too many SEs away from the expected value, it is hard to explain by chance. If an observed value is too many SEs away from the expected value, it is hard to explain by chance.
Start by finding a null and alternative hypothesis, eg: Start by finding a null and alternative hypothesis, eg:
- Null: The chance of *x* taking place is *y*%. This is often given in the problem - Null: *x* is *y*. This is often given in the problem
- Alternative: If you're being asked to determine if something has changed, you're determining whether or not *x* is not equal to y - Alternative: If you're being asked to determine if something has changed, you're determining whether or not *x* is equal to. If you're being asked to find the more than, or less than, it's a one sided test.
Then find the SE, take the EV and the observed value, and find the $z$ score. You can use this $z$ score combined with something like $normalcdf$ to find the amount that is outside of the expected range. If that total amount is less than 5%, than the null hypothesis should be rejected. If that total amount is more than 5%, the difference is too small, and it should not
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