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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. The equivalent of $normalcdf$ for a t test is $tcdf$. This function returns a percentage.
## P Value ## P Value
The chance of observing at least a sample statistic, or something more extreme, if the null hypothesis is true. 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 less than *5*%, reject the null** hypothesis, evidence.
If the p-value is greater than *5*%, fail to reject the null hypothesis. If the **p-value is greater than *5*%, fail to reject** the null hypothesis, not enough evidence.
(Ch 28, stat 1040) (Ch 28-29, stat 1040)
## Goodness of fit tests ## 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). 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. 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.