A Sports Researcher Is Interested in Determining If There Is $\chi ^ { 2 }$

question 26

Multiple Choice

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. Calculate the chi-square test statistic $\chi ^ { 2 }$ used to test the claim that the number of home team and visiting team wins is independent of the sport. Use $\alpha = 0.01$ .
$\begin{array}{l|cccc} & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team wins } & 39 & 156 & 25 & 83 \\\text { Visiting team wins } & 31 & 98 & 19 & 75\end{array}$

• A) \(4.192\)
• B) \(3.290\)
• C) \(2.919\)
• D) \(5.391\)

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Definitions:

Inner Conflict

A psychological struggle within oneself arising from opposing demands or impulses.

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Peer-led groups where members support each other in solving personal problems or improving their situation.

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The act of providing reciprocal emotional, social, or practical help to each other in a group or between individuals.

Common Problem

An issue or challenge that is frequently encountered by a considerable number of people.