Question

Chi-Square Test for Independence (11 points)

      This question is an extension from Q2 above. The professor was also interested in whether there is a gender difference in terms of students’ choice of one of the three assessment types. So she broke the data down by gender in the following table and conducted a Chi-square test for independence with a = .05.

TA	Female	Male	Total
Multiple-choice test	22	16	38
Essay	7	6	13
In-class presentation	2	7	9

1. What are the variables in this analysis? What type of variable is each (nominal, ordinal, or continuous)? (2 points total: 1 for each variable- .5 for variable name, .5 for variable type)

2. State the null and alternative hypotheses in words (2 points total: 1 for each hypothesis)
   

3. Calculate X² statistic (3 points total: 1 for final answer, 1 for setting up correct table, 1 for calculation- deduct .5 for each calculation error)

4. Calculate the degrees of freedom and then identify the critical value

5. Compare the X² statistic with the critical value, then report the hypothesis test result, using “reject” or “fail to reject” the null hypothesis in the answer

6. Explain the conclusion in a sentence or two (1 point

Answer 1

	Female	Male	Total
Multiple-choice test	22	16	38
Essay	7	6	13
In-class presentation	2	7	9
Total	31	29	60