Perform a Test for Independence
-A Sports Statistician Is Interested $\chi _ { 0 } ^ { 2 }$

question 13

Multiple Choice

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. Find the critical value $\chi _ { 0 } ^ { 2 }$ to test the claim that the number of home team and visiting team losses is independent of the sport. Use $\alpha = 0.01$ .
$\begin{array}{l|cccc} & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team losses } & 39 & 156 & 25 & 83 \\\text { Visiting team losses } & 31 & 98 & 19 & 75\end{array}$

• A) \(11.345\)
• B) \(12.838\)
• C) \(7.815\)
• D) \(9.348\)

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Definitions:

Cost of Goods Sold

The immediate expenses related to manufacturing the products a company sells, comprising costs for materials and labor.

Job-Order Costing System

A costing method used to accumulate costs of production by job or batch, suitable for manufacturing processes producing unique products or jobs.

Overapplied

Refers to a situation where the manufacturing overhead allocated to products is more than the actual manufacturing overhead incurred.

Underapplied

Describes a situation in cost accounting when the allocated manufacturing overhead costs are less than the actual overhead incurred, leading to a discrepancy that needs adjustment.