Question

The student-athletes on the men's teams compete in various NCAA-II sports. Each team may be regarded as a random sample of all the NCAA-II athletes in that sport. There were 64 of 65 players who were over 71" tall listed on PLNU rosters of Men’s Basketball teams from five seasons (2019-20, 2015-16, 2011-12, 2007-08, and 2003-04). There were 74 of 90 players who were over 71" tall listed on the school's rosters of Men’s Baseball teams from three seasons (2020, 2012, and 2004). Give a 95% confidence interval for the difference in the proportion of NCAA-II Basketball and Baseball players who are over 71" tall. At the end of your work, write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it. Your audience is people who have never had a statistics class (think of middle of the road 8th graders, not the really bright ones).

Answer 1

Conclusion: Since the confidence interval doesn't contain the value zero, we have sufficient evidence to conclude that the proportion of basketball players is higher than that of baseball players whose height is over 71" tall.