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A Random Sample of 160 Car Accidents Are Selected and Categorized

question 21

Multiple Choice

A random sample of 160 car accidents are selected and categorized by the age of the driver determined to be at fault. The results are listed below. The age distribution of drivers for the given categories is 18%18 \% for the under 26 group, 39%39 \% for the 264526 - 45 group, 31%31 \% for the 456545 - 65 group, and 12%12 \% for the group over 65 . Calculate the chi-square test statistic χ2\chi ^ { 2 } used to test the claim that all ages have crash rates proportional to their driving rates.
 Age  Under 26 26454665 Over 65 Drivers 66392530\begin{array}{l|cccc}\text { Age } & \text { Under 26 } & 26-45 & 46-65 & \text { Over } 65 \\\hline \text { Drivers } & 66 & 39 & 25 & 30\end{array}

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Definitions:

Payoff

The return or reward resulting from an action or investment, which can be in the form of profit, benefit, or satisfaction.

Emotional Intelligence

The capacity to identify, comprehend, and control our personal emotions, as well as to identify, comprehend, and impact the emotions of other people.

Richard Boyatzis

A distinguished professor known for his work in emotional intelligence, behavior change, and competence.

Defensive Behavior

Actions or reactions aimed at protecting oneself from perceived threats or criticism.

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