Lab: Association between two categorical variables

A sample survey of 100 studentsaged 19 to 22 were asked, "How often do you exercise?" and "Do you usually eat breakfast?".

Open your lab dataset in Blackboard Learn or previously saved in SPSS.

1. Use SPSS to create a two-way table of whether students eat breakfast and amount of exercise. Submit this output with your lab.

2. Have SPSS produce a separate table with the joint and marginal percentages. Submit this output with your lab.

3. What percentage of studentsusually eat breakfast? Show your work. Is this a joint, marginal, or conditional percentage?

4. Who is more likely to exercise daily, those who eat breakfast or those who do not?Calculate the percent of those who do not eat breakfastthat exercise daily. Then, calculate the percent of those who eat breakfast that exercise daily. Compare these two and determine who is more likely to exercise daily. Show your work. Are these joint, marginal, or conditional percentages?

5. What percentage of participants eat breakfast and are sedentary? Show your work. Is this a joint, marginal, or conditional percentage?

6. Create a bar graph (either by hand or with SPSS) that demonstrates the distribution of exercise for those who eat breakfast. Show another bar graph that demonstrates the distribution of exercise for those who do not eat breakfast. Explain in words what your bar graphs tell you. Are the results similar for the two graphs? Tell how they are different (give at least two differences).

7. Is there an association in the population between eating breakfast and amount of exercise? State your hypotheses, use SPSS to perform a chi-squared test, and give your test statistic and P-value. (Use an ?=0.01) State your conclusion in terms of the problem and specify whether your results refer to the sample or the population.Submit your Chi-Square output from SPSS with your lab, including the footnote.

a. Hypotheses:

b. Test Statistic:

c. P-Value:

d. Conclusion:

8. Is it appropriate to do a chi-square test here? Give specific reasons to explain why or why not. Include numbers used to make this decision.