Perform the Indicated Hypothesis Test Test the Claim That the Type of Team Winning Is

Essay

Perform the indicated hypothesis test. Be sure to do the following: identify the claim and state the null and alternative
hypotheses. Determine the critical value. Calculate the test statistic. Decide to reject or to fail to reject the null
hypothesis and interpret the decision in the context of the original claim.
-A sports researcher is interested in determining if there is a relationship between the type of sport and type of
team winning (home team versus visiting team). A random sample of 526 games is selected and the results are
given below. $$\begin{array} { l | c c c c } & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team wins } & 39 & 156 & 25 & 83 \\\text { Visiting team wins } & 31 & 98 & 19 & 75\end{array}$$ Test the claim that the type of team winning is independent of the type of sport. Use $$\alpha = 0.01$$