• Complete a chi-square test of homogeneity
• Write the conclusion of a chi-square test of homogeneity in context of the problem

Steroid Use in Collegiate Sports

In 2006, the NCAA published a report called “Substance Use: NCAA Study of Substance Use of College Student-Athletes.”^[1]

Let’s use the data from the 2006 NCAA published report to investigate the following question: Does steroid use by student athletes differ for the three NCAA divisions?

A note on NCAA divisions: The National Collegiate Athletic Association (NCAA) is divided into three divisions and oversees a wide range of collegiate sports. Division I schools have to sponsor more sports teams. These schools tend to be large universities with large athletic budgets supplemented by revenue from the games. They must offer athletic scholarships. Division II schools tend to be the smaller public universities and many private institutions. They have much smaller budgets that come solely from the college. The NCAA limits the amount that Division II colleges can spend on athletic scholarships. Division III consists of colleges and universities that treat athletics as an extracurricular activity for students, instead of a source of revenue. These institutions do not offer athletic scholarships.

Below are the summarized data from three samples, one from each division, in a two-way table.

	Admit Steroid Use
	Yes	No	Totals
Division I	103	8,440	8,543
Division II	52	4,289	4,341
Division III	65	6,428	6,493
Totals	220	19,157	19,377

Let’s use the statistical tool to conduct the Chi-Squared test of Homogeneity. 

Remember to select “Contingency Table” under Enter Data and input our values accordingly.

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