Above we calculated the risk of a fatal accident for those wearing seat belts and those not wearing seat belts. For those wearing a seat belt, the probability of a fatality is 0.0012. For those not wearing a seat belt, the probability of a fatality is 0.0098. Is the following a valid statement? Based on this data, the risk of a fatal accident is very small whether you are wearing a seat belt or not.   valid         invalid   Incorrect. If we write these risks as percentages, both are less than 1%. So this data suggests that you have less than a 1% chance of dying in an accident regardless of whether or not you are wearing a seatbelt.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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Above we calculated the risk of a fatal accident for those wearing seat belts and those not wearing seat belts.

For those wearing a seat belt, the probability of a fatality is 0.0012. For those not wearing a seat belt, the probability of a fatality is 0.0098.

Is the following a valid statement?

Based on this data, the risk of a fatal accident is very small whether you are wearing a seat belt or not.

 
valid
 
 
 
 
invalid
 
Incorrect. If we write these risks as percentages, both are less than 1%. So this data suggests that you have less than a 1% chance of dying in an accident regardless of whether or not you are wearing a seatbelt.
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