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A Sports Researcher Is Interested in Determining If There Is χ2\chi ^ { 2 }

question 31

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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 χ2\chi ^ { 2 } used to test the claim that the number of home team and visiting team wins is independent of the sport. Use α=0.01\alpha = 0.01 .
 Football  Basketball  Soccer  Baseball  Home team wins 391562583 Visiting team wins 31981975\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}

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