Instructions:

Use the contingency table below to answer the following questions.

You may calculate the ²statistic either by hand or with the assistance of a computer/software (a website, Excel, etc.).

	Happiness	Anger	Sadness	Anxiety
Morning	36	4	12	9
Afternoon	32	11	6	10
Evening	29	6	10	24

1. Under the null hypothesis, how many sadness observations would we expectto see in the morning?

1. Conduct a ² test, and include the following on your answer sheet:
   1. Is this a "goodness of fit" test or a "test of independence"?
   2. Write, in words, the null and alternative hypotheses for this test.
   3. What is the alpha/critical p-value that you will use for this test?
   4. What is the ², the degrees of freedom, and the p-value?
   5. What is your conclusion? Interpret your results in 1-2 sentences.

1. If your above conclusion was actually wrong, would it be an example of a Type I error or a Type II error?