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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.
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
- Alternative: If you're being asked to determine if something has changed, you're determining whether or not *x* is not equal to y
- 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 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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