Winning team data were collected for teams in different spots, with the results given in the accompanying table. Use a 0.10 significance level to test the claim that home/visitor wins are independent of the sport. Basketball Baseball Hockey Football Home team wins 127 53 50 57 Visiting team wins 71 47 43 42 a. State Upper H 0 . A. Home/visitor wins are independent of the sport B. Home/visitor wins are related to the sport C. Home field advantage is more important in basketball D. More home basketball teams win b. Calculate the P-value. Which of these options is closest to the P-value? A. 0.1921 B. 0.1864 C. 0.1897 D. 0.2043 c. State the technical conclusion. A. Do not reject Upper H 0 B. Reject Upper H 0 d. State the final conclusion. A. There is not sufficient evidence to warrant rejection of the claim. B. The sample data support the claim. C. There is not sufficient sample evidence to support the claim. D. There is sufficient evidence to warrant rejection of the claim. e. 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? Y/N

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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Question

Winning team data were collected for teams in different spots, with the results given in the accompanying table. Use a 0.10 significance level to test the claim that home/visitor wins are independent of the sport.

Basketball Baseball Hockey Football

Home team wins

127

53 50 57

Visiting team wins 71 47 43 42

a. State

Upper H 0

Home/visitor wins are independent of the sport

Home/visitor wins are related to the sport

Home field advantage is more important in basketball

More home basketball teams win

b. Calculate the P-value. Which of these options is closest to the P-value?

0.1921

0.1864

0.1897

0.2043

c. State the technical conclusion.

Do not reject Upper H 0

Reject Upper H 0

d. State the final conclusion.

There is not sufficient evidence to warrant rejection of the claim.

The sample data support the claim.

There is not sufficient sample evidence to support the claim.

There is sufficient evidence to warrant rejection of the claim.

e. 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?

Y/N

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