Math Problem Statement

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2975 occupants not wearing seat belts, 35 were killed. Among 7864 occupants wearing seat belts, 16 were killed. Compute a 95% confidence interval to investigate whether occupants not wearing seat belts are more likely to be killed in a car crash.

We can be 95% confident that front-seat occupants not wearing seatbelts are between

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Probability
Confidence Intervals

Formulas

Proportion of fatalities = Number of fatalities / Total occupants
Confidence interval for the difference in proportions

Theorems

Central Limit Theorem

Suitable Grade Level

Grades 11-12