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

question 55

Multiple Choice

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. Calculate the chi-square test statistic χ $$\chi ^ { 2 }$$
to test the claim that the type of team winning is
Independent of the sport. $$\begin{array} { l | c c c c } & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team wins } & 39 & 156 & 25 & 83 \\\text { Visiting team wins } & 31 & 98 & 19 & 75\end{array}$$

• A)3.290
• B)2.919
• C)5.391
• D)4.192

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Definitions:

Natural Killer Cell

A type of lymphocyte in the immune system capable of killing certain infectious organisms and tumor cells without prior immunization.

Lyses Tumor

The breakdown or destruction of tumor cells, often through chemical, biological, or physical means.

Virus-infected Cells

Cells that have been invaded by viruses, which hijack the cells' machinery to replicate and produce more viruses.

Active Artificial Immunity

Immunity acquired through the introduction of a vaccine containing a harmless form of a pathogen, prompting an immune response without causing the disease.