Question

The National Football League (NFL) holds its annual draft of the nation's best college football players in April each year. Prior to the draft, various sporting news services project the players who will be drafted along with the order in which each will be selected in what are called mock drafts. Players who are considered to have superior potential as professional football players are selected earlier in the draft. Suppose the following table shows projections by one mock draft service of what position in the first round players from the Atlantic Coast Conference, the Big Ten Conference, the PAC-12 Conference, and the Southeastern Conference will be selected. Big Ten SEC АCC PAC-12 Projected Draft Projected Draft Projected Draft Position Projected Draft College Attended College Attended College Attended College Attended Position Position Position Florida State Florida 2 Iowa 8 USC 1 Clemson Michigan St Oregon 6 Alabama 5 10 4 Miami 9 Nebraska 11 Oregon 15 Kentucky 7 Georgia Tech Minnesota Washington 14 26 17 Texas A&M 12 Missouri Louisville Wisconsin UCLA 18 27 19 13 Wake Forest 20 UCLA 22 Alabama 16 Florida State 21 Stanford 23 LSU 25 Virginia Tech Arizona St 28 24 LSU 29 Use the Kruskal-Wallis test to determine if there is any difference among NFL teams for players from these four conferences. Use a = 0.05 State the null and alternative hypotheses. H: The populations for the mock draft positions of the four conferences are identical. H The populations for the mock draft positions of the four conferences are not all identical. Ho: Median ACC Median Big Ten Median pAC-12 MedianSEC Ha MedianACC = Medianig Ten = MedianpAC-12 = MediangEC Ho MedianACC MedianBig Ten = Median pAC- 12 = MedianSEC H3 MedianACC Median Big Ten < Median PAC- 12> MedianSEC H: The populations for the mock draft positions of the four conferences are not all identical. Ha The populations for the mock draft positions of the four conferences are identical. Ho: MedianACC = Median,Bio Ten = MedianpAC-12 = MedianSEC Ha MedianACC Median Big Ten = MedianpAC-12 Median SEC Find the value of the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to three decimal places.) p-value What is your conclusion? ODo not reject H There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. Do not reject H There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences Reject H There is not sufficient evidence to conclude that there is a siqnificant difference among NFL teams for players from these four conferences. Reject H There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.

Answer 1

The statistical software output for this problem is:

Kruskal-Wallis results: Data stored in separate columns. DF Chi-Square P-value 3 0.58172414 0.9006 Summary statistics Column + n. Median. Ave. Rank ACC 16 14.625 Big Ten 5 11 16.4 PPAC-12 8 18 16.125 SEC 12.5 13.375 8

Hence,

Hypotheses: Option A is correct.

Test statistic = 0.58

p - Value = 0.901

Conclusion: Option A is correct.