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

question 23

Short Answer

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 $\alpha = 0.01$
$\begin{array}{l|cccc} & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team losses } & 39 & 156 & 25 & 83 \\\text { Visiting team losses } & 31 & 98 & 19 & 75\end{array}$

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Definitions:

Adaptation

The process by which organisms adjust to changes in their environment to survive and reproduce.

Modification

The act of changing something or adjusting it to improve it or to make it more suitable for a particular purpose.

Unconscious Processing

Cognitive operations that occur without conscious awareness, influencing perceptions, thoughts, and behaviors.

Equilibration

Piaget’s term for the tendency to seek a stable balance among cognitive elements; achieved through a balance between assimilation and accommodation.