The National Collegiate Athletic Association (NCAA) is concerned about the graduation rate for student athletes involved in “ revenue producing” sports, especially football and basketball, compared to the graduation rate for student athletes involved in “ non revenue” sports like swimming, lacrosse, etc. From a list of freshmen athletes who entered college 5 years ago, a random sample of 500 football and basketball players, and a sample of 500 participants in other collegiate sports is selected. It turns out that the sample of football and basketball players showed a graduation rate of 38%; while the sample of other student athletes showed a graduation rate of 44%. Based on these sample results, produce a 90% confidence interval estimate of the difference in graduation rates for the two populations represented here.
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