A Sports Statistician Is Interested in Determining If There Is $\chi _ { 0 } ^ { 2 }$

question 26

Multiple Choice

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

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

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Definitions:

Sternberg's Triarchic Theory

A theory of intelligence proposing three aspects: analytical intelligence, creative intelligence, and practical intelligence.

Successful Intelligence

Refers to a theory by Robert Sternberg that suggests intelligence is the ability to achieve success in life based on personal standards, within sociocultural context. It involves analytical, creative, and practical abilities.

Navigate Novel Situations

The ability to understand, manage, and adapt to new and unknown circumstances effectively.

Vernon's Hierarchal Model

A psychological theory that organizes intelligence into a hierarchy, with g (general intelligence) at the top, followed by two major group factors of verbal-educational and spatial-mechanical abilities.