Perform a Test for Independence
-A Sports Statistician Is Interested $\alpha = 0.01$

Perform a Test for Independence
-A sports statistician is interested in determining if there is a relationship between the number of home team and visiting team losses and different sports. A random sample of 526 games is selected and the results are given below. Test the claim that the number of home team and visiting team losses is independent of the sport. Use $\alpha = 0.01$
$\begin{array}{l|cccc} & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team losses } & 39 & 156 & 25 & 83 \\\text { Visiting team losses } & 31 & 98 & 19 & 75\end{array}$