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education/statistics/Hypothesis Tests.md
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@ -50,11 +50,11 @@ Degrees of freedom ($df$) can be found by subtracting 1 from the sample size. Th
The equivalent of $normalcdf$ for a t test is $tcdf$. This function returns a percentage.
## P Value
The chance of observing at least a sample statistic, or something more extreme, if the null hypothesis is true.
If the p-value is less than *5*%, reject the null hypothesis.
If the p-value is greater than *5*%, fail to reject the null hypothesis.
If the **p-value is less than *5*%, reject the null** hypothesis, evidence.
If the **p-value is greater than *5*%, fail to reject** the null hypothesis, not enough evidence.
(Ch 28, stat 1040)
## Goodness of fit tests
(Ch 28-29, stat 1040)
## Goodness of fit tests ($\chi ^2$)
This test is used when you have one qualitative variable with many categories, eg the (color, size, shape) of an (item).
The $\chi^2$ curve does not follow the normal curve. It has a long right hand tail. As the degrees of freedom go up, the curves flatten out, and the hump moves out to the right.