A Sports Researcher Is Interested in Determining If There Is

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) $x ^ { 2 } > 9.348$