A Sports Researcher Is Interested in Determining If There Is

question 22

Short Answer

A sports researcher is interested in determining if there is a relationship between the number of home team and visiting team wins and different sports. A random sample of 526 games is selected and the results are given below. Find the rejection region used to test the claim that the number of home team and visiting team wins is independent of the sport. Use α = 0.01. $\begin{array}{l|cccc} & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team wins } & 39 & 156 & 25 & 83 \\\text { Visiting team wins } & 31 & 98 & 19 & 75\end{array}$

A) $\chi ^ { 2 } > 11.345$
B) $\chi ^ { 2 } > 12.838$
C) $\chi ^ { 2 } > 7.815$
D) $x ^ { 2 } > 9.348$

• A) \(\chi ^ { 2 } > 11.345\)
• B) \(\chi ^ { 2 } > 12.838\)
• C) \(\chi ^ { 2 } > 7.815\)
• D) \(x ^ { 2 } > 9.348\)

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Definitions:

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The situation wherein people are less inclined to assist someone in need when there are others around.

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A hypothesis positing that actions within a society stem from a transactional process designed to optimize advantages while reducing disadvantages.

Bystander Effect

A social psychological phenomenon where individuals are less likely to offer help to a person in need when other people are present.

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Disturbance or turmoil caused by a large amount of noise and confusion.