Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players, does it appear that baseball teams are effective in using this advantage? Click the icon to view the data table. OA. Ho Basketball games are not more likely to win at home than any other sport H₁ Basketball games are more likely to win at home than any other sport. O B. Ho The home/visitor win is dependent on the sport H₁ The home/visitor win is not dependent on the sport. OC. Ho The home/visitor win is independent of the sport H₁ The home/visitor win is not independent of the sport. OD. H Basketball games are more likely to win at home than any other sport H Basketball games are not more likely to win at home than any other sport Determine the test statistic. 2- Winning Team and Sports Data Home Team Wins Visiting Team Wins Basketball Baseball Hockey 126 50 50 71 49 43 Print Football 60 40 Done

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins
are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players,
does it appear that baseball teams are effective in using this advantage?
Click the icon to view the data table.
OA. Ho: Basketball games are not more likely to win at home than any other sport.
H₁: Basketball games are more likely to win at home than any other sport.
OB. Ho: The home/visitor win is dependent on the sport.
H₁: The home/visitor win is not dependent on the sport.
OC. Ho The home/visitor win is independent of the sport.
H₁. The home/visitor win is not independent of the sport.
OD. Ho: Basketball games are more likely to win at home than any other sport.
H₁ Basketball games are not more likely to win at home than any other sport.
Determine the test statistic.
x² = (Round to two decimal places as needed.)
Winning Team and Sports Data
Home Team Wins
Visiting Team Wins
Basketball Baseball Hockey
126
50
50
71
49
43
Print
Football
60
40
Done
Transcribed Image Text:Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players, does it appear that baseball teams are effective in using this advantage? Click the icon to view the data table. OA. Ho: Basketball games are not more likely to win at home than any other sport. H₁: Basketball games are more likely to win at home than any other sport. OB. Ho: The home/visitor win is dependent on the sport. H₁: The home/visitor win is not dependent on the sport. OC. Ho The home/visitor win is independent of the sport. H₁. The home/visitor win is not independent of the sport. OD. Ho: Basketball games are more likely to win at home than any other sport. H₁ Basketball games are not more likely to win at home than any other sport. Determine the test statistic. x² = (Round to two decimal places as needed.) Winning Team and Sports Data Home Team Wins Visiting Team Wins Basketball Baseball Hockey 126 50 50 71 49 43 Print Football 60 40 Done
Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins
are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players,
does it appear that baseball teams are effective in using this advantage?
Click the icon to view the data table.
Determine the P-value of the test statistic.
P-Value = (Round to three decimal places as needed.)
What is the conclusion?
A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is
supported by the sample data.
B. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is supported by the
sample data.
C. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is not supported by
the sample data.
D. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is not
supported by the sample data.
Transcribed Image Text:Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players, does it appear that baseball teams are effective in using this advantage? Click the icon to view the data table. Determine the P-value of the test statistic. P-Value = (Round to three decimal places as needed.) What is the conclusion? A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is supported by the sample data. B. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is supported by the sample data. C. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is not supported by the sample data. D. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that home/visitor wins are independent of the sport. The theory is not supported by the sample data.
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