A Random Sample of 160 Car Accidents Are Selected and Categorized

question 45

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 $18 \%$ for the under 26 group, $39 \%$ for the 26-45 group, 31\% for the 45-65 group, and 12\% for the group over 65 . Calculate the chi-square test statistic $\chi ^ { 2 }$ used to test the claim that all ages have crash rates proportional to their driving rates.

$\begin{array}{l|cccc}\text { Age } & \text { Under 26 } & 26-45 & 46-65 & \text { Over 65 } \\\hline \text { Drivers } & 66 & 39 & 25 & 30\end{array}$

• A) 75.101
• B) 85.123
• C) 101.324
• D) 95.431

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Definitions:

Scientific Method

A systematic process of inquiry involving observation, hypothesis formulation, experimentation, and conclusion to test scientific theories and gain knowledge.

Research Method

The systematic approach to collecting, analyzing, and interpreting data in order to increase understanding of a topic or issue.

Testable Hypothesis

A hypothesis that can be supported or refuted through experimentation or observation, making it possible to draw conclusions.

Hormones

Chemical messengers produced by the endocrine glands that regulate various bodily functions by traveling through the bloodstream to organs and tissues.