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. Assuming the row and column classifications are independent, find an estimate for the expected cell count of cell $E _ { 22 }$.
$\begin{array}{l|llll}
& \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \
\hline \text { Home team wins } & 39 & 157 & 27 & 80 \
\text { Visiting team wins } & 29 & 95 & 20 & 79
\end{array}$

A) $106.8$
B) $145.2$
C) $27.1$
D) $19.9$

Question

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. Assuming the row and column classifications are independent, find an estimate for the expected cell count of cell $E _ { 22 }$.
$\begin{array}{l|llll} 
& \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \
\hline \text { Home team wins } & 39 & 157 & 27 & 80 \
\text { Visiting team wins } & 29 & 95 & 20 & 79
\end{array}$

A) $106.8$
B) $145.2$
C) $27.1$
D) $19.9$

Quizplus · Accepted Answer

The expected cell count for cell $E _ { 22 }$ is the product of the row total and the column total divided by the total number of observations. The row total for the "Visiting team wins" row is 29 + 95 + 20 + 79 = 223. The column total for the "Basketball" column is 157 + 95 = 252. The total number of observations is 526. Therefore, the expected cell count for cell $E _ { 22 }$ is (223 * 252) / 526 = 106.8.

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