Educational Statistics

Assignment #8: Chi-Square Test of Independence

Directions: Use the Crosstabs option in the Descriptives menu to answer the questions based on the following scenario. (Be sure to select Chi-square from the Statistics submenu and Observed, Expected, Row, and Column in the Cells submenu. Assume a level of significance of .05)

The superintendent is interested in determining if student participation in sports is related to performance on the Graduate Exit Exam of a local high school. The superintendent obtained the performance scores for the test-taking students and recorded their type of sports participation (none, one sport, multiple sports). The superintendent reported the performance scores as proficient or not proficient. The resulting data are provided below:

Proficient	Sports Participation
	None	One Sport	Multiple Sports

Yes	52	52	26
No	32	15	17

1. Of the students that were proficient, what percent of the participates were in no sports, one sport, and multiple sports? (Round your answer to 1 decimal place).

2. State an appropriate null hypothesis for this analysis.

3. What is the value of the chi-square statistic?

4. What are the reported degrees of freedom?

5. What is the reported level of significance?

6. Based on the results of the chi-square test of independence, is there an association between sports participation and proficiency on the Graduate Exit Exam?

7. Present the results as they might appear in an article. This must include a table and narrative statement that reports and interprets the results of the analysis.