A Sports Researcher Is Interested in Determining If There Is $\alpha = 0.01$

question 14

Multiple Choice

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. Find the rejection region used to test the claim that the number of home team and visiting team wins is independent of the sport. Use $\alpha = 0.01$ .
$\begin{array}{l|cccc} & \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \\\hline \text { Home team wins } & 39 & 156 & 25 & 83 \\\text { Visiting team wins } & 31 & 98 & 19 & 75\end{array}$

• A) \(\chi ^ { 2 } > 12.838\)
• B) \(\chi ^ { 2 } > 9.348\)
• C) \(x ^ { 2 } > 7.815\)
• D) \(\chi ^ { 2 } > 11.345\)

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Definitions:

Selective Cutting

A forestry practice where only certain trees are cut down, allowing for a mix of tree ages and types to remain, promoting a healthier forest.

Uneven-aged Stand

A forestry term referring to a forest, woodland, or stand of trees that has trees of mixed ages within it, which can enhance biodiversity and resilience.

Mature Trees

Fully grown trees that have reached their full size and are often considered crucial for providing habitat and ecosystem services.

Forested Watershed

A geographic area in which all water runoff drains into a single body of water, covered significantly by forests, affecting water quality and ecosystem health.