1. When do we use chi-square tests?
2. What are observed frequencies v expected frequencies?
3. Distinguish between the goodness of fit test and the chi-square analysis. When would you use each one?
4. Imagine a town that boasts clear skies 80% of the time. You record the weather for 78 days and get the following: Clear skies 59 days, cloudy skies 19 days.
   1. Calculate the degrees of freedom for the chi-square test for goodness of fit.
   2. Determine the observed and expected frequencies.
   3. Calculate the differences between frequencies and calculate the chi-square statistic.

Category	Observed (O)	Expected (E)	O-E	(O-E)^2	[(O-E)^2]/E
Clear Skies
Unclear Skies