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.
ACC |
Big Ten |
PAC-12 |
SEC |
|---|
College
Attended |
Projected
Draft
Position |
College
Attended |
Projected
Draft
Position |
College
Attended |
Projected
Draft
Position |
College
Attended |
Projected
Draft
Position |
|---|
Florida State |
2 |
Iowa |
7 |
USC |
3 |
Florida |
1 |
Clemson |
5 |
Michigan St |
10 |
Oregon |
8 |
Alabama |
4 |
Miami |
6 |
Nebraska |
13 |
Oregon |
15 |
Kentucky |
9 |
Georgia Tech |
11 |
Minnesota |
26 |
Washington |
16 |
Texas A&M |
12 |
Louisville |
18 |
Wisconsin |
27 |
UCLA |
19 |
Missouri |
14 |
Wake Forest |
20 |
|
|
UCLA |
21 |
Alabama |
17 |
Florida State |
24 |
|
|
Stanford |
22 |
LSU |
25 |
Virginia Tech |
29 |
|
|
Arizona St |
23 |
LSU |
28 |
Use the Kruskal-Wallis test to determine if there is any difference among NFL teams for players from these four conferences. Use ? = 0.05.
State the null and alternative hypotheses.
H
0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC
H
a: MedianACC > MedianBig Ten <>PAC-12 > MedianSEC
H
0: The populations for the mock draft positions of the four conferences are identical.
H
a: The populations for the mock draft positions of the four conferences are not all identical.
H
0: The populations for the mock draft positions of the four conferences are not all identical.
H
a: The populations for the mock draft positions of the four conferences are identical.
H
0: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC
H
a: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC
H
0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC
H
a: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC
Find the value of the test statistic. (Round your answer to two decimal places.)
What is thep-value? (Round your answer to three decimal places.)
p-value =
What is your conclusion?
Do not rejectH
0. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
Do not rejectH
0. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
RejectH
0. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
RejectH
0. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.