1.) Whether you are a college basketball fan or not, you cannot help but be aware of the yearly phenomenon known as March Madness, the NCAA Division I Championship series, which culminates the first week in April by crowning one school’s team, in both men’s and women’s basketball, the national champion. Here we will focus on men’s basketball as it has the longer history.
The NCAA divides college teams into conferences such as the Big Ten (which contains 11 teams), the Big East and the SEC (Southeastern Conference.) Conferences may shrink or grow over time and the list of member schools may change. As of 2006, the Pacific Ten Conference (Pac 10) consisted of the following schools
Find, on the Internet, a list of the men’s NCAA Division I Championship winners from the first year there was a title winner (1939) to the present. You will need this information and the list of PAC 10 schools above for the exercises.
. Using a 0.05 level of significance, test the hypothesis that the probability of the NCAA Division I basketball champion being from the Pac 10 is 20%. Repeat the test for the hypothesis that the probability the champion is UCLA is 20%. What do these results say about testing with group data? Include in your answer the URL of the site where you found the necessary data.
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