A Random Sample of 160 Car Accidents Are Selected and Categorized

question 29

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 giver 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 rejection region used to test the claim that all ages have crash rates proportional to their number of drivers. Use $\alpha = 0.05$ .

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

• A) \(x ^ { 2 } > 7.815\)
• B) \(\chi ^ { 2 } > 11.143\)
• C) \(x ^ { 2 } > 6.251\)
• D) \(\chi ^ { 2 } > 9.348\)

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Definitions:

Sensation

The process of sensing through touch, taste, sight, sound, and smell, and how our brains interpret these sensory experiences.

Perception

The process of organizing and interpreting sensory information to understand the environment.

Just Noticeable Difference

The minimum difference in stimulation that a person can detect 50% of the time.

Absolute Threshold

This pertains to the lowest level at which an organism can experience a sensation, marking the boundary between non-detection and detection of a stimulus.