A Random Sample of 160 Car Crashes Are Selected and Categorized

question 69

Multiple Choice

A random sample of 160 car crashes are selected and categorized by age. 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. Find the critical value χ $$\chi _ { 0 } ^ { 2 }$$ to test the claim that all ages have
Crash rates proportional to their driving rates. Use $$\alpha = 0.05$$ $$\begin{array} { l | c c c c } \text { Age } & \text { Under 26 } & 26 - 45 & 46 - 65 & \text { Over } 65 \\\hline \text { Drivers } & 66 & 39 & 25 & 30\end{array}$$

• A)7.815
• B)6.251
• C)11.143
• D)9.348

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Definitions:

Children

Young human beings before they reach puberty, characterized by rapid physical growth and mental development.

Teenagers

Individuals who are in the age group of 13 to 19 years old, navigating the transition from childhood to adulthood.

Status Quo Bias

A cognitive bias that causes people to prefer things to stay the same by doing nothing or by sticking with a decision made previously.

Decision-Making

The cognitive process of selecting a course of action from among multiple alternatives, often involving elements of judgment and reasoning.