Homework SourseData regarding the salaries and bonuses received by the near
Data regarding the salaries and bonuses received by the nearly 1800 players in the National Football League during the 2000 season are provided in the worksheet NFL2000. Using this data, perform an appropriate test of hypothesis, at the alpha = .05 level of significance, to determine whether compensation for players in the NFL is dependent on the team for which they play.
Salary
<299999
300000-599999
600000-900000
>900000
Total
Team
49ers
25
34
0
1
60
Bears
23
21
5
12
61
Bengals
21
16
8
11
56
Bills
22
30
1
1
54
Broncos
18
26
6
8
58
Browns
31
24
2
5
62
Buccaneers
14
25
9
7
55
Cardinals
19
26
4
11
60
Chargers
18
34
2
4
58
Chiefs
18
33
3
4
58
Colts
27
20
4
6
57
Cowboys
26
26
1
4
63
Dolphins
15
37
2
9
63
Eagles
19
20
5
11
55
Falcons
19
27
7
8
61
Giants
24
32
0
3
59
Jaguars
19
36
4
0
59
Jets
16
26
5
6
53
Lions
11
33
5
6
56
Packers
24
22
5
7
58
Panthers
22
34
2
3
61
Patriots
25
27
2
3
57
Raiders
14
34
2
5
55
Rams
16
25
2
10
53
Ravens
13
36
4
5
58
Redskins
17
36
3
4
60
Saints
16
33
1
10
60
Seahawks
27
21
4
5
57
Steelers
19
26
3
10
58
Titans
21
27
6
6
60
Vikings
15
33
2
4
54
Total
614
881
109
189
1793
1. What is the value of the sample test statistic?
chi 2= 113.15
chi2= 160.47
p = 0.0001
chi2 = 224.78
2. Using this data, perform an appropriate test of hypothesis, at the alpha = .05 level of significance, to determine whether compensation for players in the NFL is dependent on the team for which they play.
What is your conclusion?
Salary and team membership are independent
Salary and team membership are dependent
Cannot determine
The Pittsburgh Steelers are the best franchise in the NFL
| Salary | <299999 | 300000-599999 | 600000-900000 | >900000 | Total |
| Team | |||||
| 49ers | 25 | 34 | 0 | 1 | 60 |
| Bears | 23 | 21 | 5 | 12 | 61 |
| Bengals | 21 | 16 | 8 | 11 | 56 |
| Bills | 22 | 30 | 1 | 1 | 54 |
| Broncos | 18 | 26 | 6 | 8 | 58 |
| Browns | 31 | 24 | 2 | 5 | 62 |
| Buccaneers | 14 | 25 | 9 | 7 | 55 |
| Cardinals | 19 | 26 | 4 | 11 | 60 |
| Chargers | 18 | 34 | 2 | 4 | 58 |
| Chiefs | 18 | 33 | 3 | 4 | 58 |
| Colts | 27 | 20 | 4 | 6 | 57 |
| Cowboys | 26 | 26 | 1 | 4 | 63 |
| Dolphins | 15 | 37 | 2 | 9 | 63 |
| Eagles | 19 | 20 | 5 | 11 | 55 |
| Falcons | 19 | 27 | 7 | 8 | 61 |
| Giants | 24 | 32 | 0 | 3 | 59 |
| Jaguars | 19 | 36 | 4 | 0 | 59 |
| Jets | 16 | 26 | 5 | 6 | 53 |
| Lions | 11 | 33 | 5 | 6 | 56 |
| Packers | 24 | 22 | 5 | 7 | 58 |
| Panthers | 22 | 34 | 2 | 3 | 61 |
| Patriots | 25 | 27 | 2 | 3 | 57 |
| Raiders | 14 | 34 | 2 | 5 | 55 |
| Rams | 16 | 25 | 2 | 10 | 53 |
| Ravens | 13 | 36 | 4 | 5 | 58 |
| Redskins | 17 | 36 | 3 | 4 | 60 |
| Saints | 16 | 33 | 1 | 10 | 60 |
| Seahawks | 27 | 21 | 4 | 5 | 57 |
| Steelers | 19 | 26 | 3 | 10 | 58 |
| Titans | 21 | 27 | 6 | 6 | 60 |
| Vikings | 15 | 33 | 2 | 4 | 54 |
| Total | 614 | 881 | 109 | 189 | 1793 |
Solution
1. What is the value of the sample test statistic?
Answer: chi2= 160.47
| <299999 | 300000-599999 | 600000-900000 | >900000 | Total | ||
| 49ers | Observed | 25 | 34 | 0 | 1 | 60 |
| Expected | 20.56 | 29.46 | 3.65 | 6.33 | 60.00 | |
| (O - E) |
