TI-83/84 PLUS Winning team data were collected for teams in different sports, with the results given in the table below. Use the TI-83/84 Plus results at a 0.05 level of significance to test the claim that home/visitor wins are independent of the sport. x² - Test x² = 11.283947924 P=0.0102854951 df = 3 Basketball Baseball 82 Hockey 78 Football 47 Home team wins 141 Visiting team wins 61 39 38 46 the null hypothesis that home/visitor wins are independent of the sport. It appears that the home-field advantage Reject depend on the sport.
TI-83/84 PLUS Winning team data were collected for teams in different sports, with the results given in the table below. Use the TI-83/84 Plus results at a 0.05 level of significance to test the claim that home/visitor wins are independent of the sport. x² - Test x² = 11.283947924 P=0.0102854951 df = 3 Basketball Baseball 82 Hockey 78 Football 47 Home team wins 141 Visiting team wins 61 39 38 46 the null hypothesis that home/visitor wins are independent of the sport. It appears that the home-field advantage Reject depend on the sport.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Analysis of Home vs. Visitor Wins Across Different Sports
Winning team data were collected for teams in different sports, with the results given in the table below. Use the TI-83/84 Plus results at a 0.05 level of significance to test the claim that home/visitor wins are independent of the sport.
#### Data Table:
| Wins | Basketball | Baseball | Hockey | Football |
|-------------------|------------|----------|--------|----------|
| Home team wins | 141 | 82 | 78 | 47 |
| Visiting team wins| 61 | 39 | 38 | 46 |
#### TI-83/84 Plus Results:
- χ² - Test
- χ² = 11.283947924
- P = 0.0102854951
- df = 3
#### Conclusion Options:
Using the data and χ² test results, select the appropriate conclusion from the options provided.
- **Conclusion:**
- [ ] Reject
- [ ] Fail to reject
the null hypothesis that home/visitor wins are independent of the sport. It appears that the home-field advantage [ ] depend on the sport.
Here, examining the p-value from the χ² test, which is 0.0102854951, and comparing it to the significance level of 0.05, we can make a conclusion about the hypothesis.
#### Explanation of Graph/Chart:
The table provides the number of wins for home teams and visiting teams across four different sports: Basketball, Baseball, Hockey, and Football. The number of wins are listed under the corresponding sports, showing a comparison between home and visitor wins.
The results computed using the TI-83/84 Plus calculator present:
- A χ² value of 11.283947924
- A p-value of 0.0102854951
- Degrees of freedom being 3
These statistical values are used to determine whether the difference in wins is statistically significant across different sports or if they occur by random chance. The low p-value indicates that there is a significant relationship between the sport and the likelihood of home or visitor wins, leading us to reject the null hypothesis. This implies that the home-field advantage does depend on the sport.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e2dce9f-bcdf-4f32-a081-371e2dab1fcb%2F215dcdb6-b64a-41d1-84a5-6c09fcbaf56a%2Fos30hki_processed.png&w=3840&q=75)
Transcribed Image Text:### Analysis of Home vs. Visitor Wins Across Different Sports
Winning team data were collected for teams in different sports, with the results given in the table below. Use the TI-83/84 Plus results at a 0.05 level of significance to test the claim that home/visitor wins are independent of the sport.
#### Data Table:
| Wins | Basketball | Baseball | Hockey | Football |
|-------------------|------------|----------|--------|----------|
| Home team wins | 141 | 82 | 78 | 47 |
| Visiting team wins| 61 | 39 | 38 | 46 |
#### TI-83/84 Plus Results:
- χ² - Test
- χ² = 11.283947924
- P = 0.0102854951
- df = 3
#### Conclusion Options:
Using the data and χ² test results, select the appropriate conclusion from the options provided.
- **Conclusion:**
- [ ] Reject
- [ ] Fail to reject
the null hypothesis that home/visitor wins are independent of the sport. It appears that the home-field advantage [ ] depend on the sport.
Here, examining the p-value from the χ² test, which is 0.0102854951, and comparing it to the significance level of 0.05, we can make a conclusion about the hypothesis.
#### Explanation of Graph/Chart:
The table provides the number of wins for home teams and visiting teams across four different sports: Basketball, Baseball, Hockey, and Football. The number of wins are listed under the corresponding sports, showing a comparison between home and visitor wins.
The results computed using the TI-83/84 Plus calculator present:
- A χ² value of 11.283947924
- A p-value of 0.0102854951
- Degrees of freedom being 3
These statistical values are used to determine whether the difference in wins is statistically significant across different sports or if they occur by random chance. The low p-value indicates that there is a significant relationship between the sport and the likelihood of home or visitor wins, leading us to reject the null hypothesis. This implies that the home-field advantage does depend on the sport.
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