A Random Sample of 160 Car Accidents Are Selected and Categorized

question 40

Essay

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 46-65 group, and 12% for the group over 65. Test the claim that all ages have crash rates proportional to their number of drivers. Use α = 0.05. $$\begin{array} { l | c c c c } \text { Age } & \text { Under 26 } & 26 - 45 & 46 - 65 & \text { Over } 65 \\\hline \text { Drivers } & 66 & 39 & 25 & 30\end{array}$$

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Definitions:

Variables

Variables are elements, features, or factors that are liable to vary or change, often used in experiments to determine if they affect the outcome.

Independent Variable

In an experimental setting, the variable that is manipulated to observe its effect on a dependent variable.

Dependent Variable

In research, the variable that is being tested and measured, often seen as the effect in an experimental study.

Family Situation

Refers to the structure, dynamics, and relationships within a person's family, impacting their development and behavior.