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A recent survey of all auto accident victims in Dole County

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A recent survey of all auto accident victims in Dole County [#permalink] New post 24 Mar 2011, 02:36
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A
B
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D
E

Difficulty:

  65% (hard)

Question Stats:

40% (02:47) correct 60% (02:06) wrong based on 144 sessions
A recent survey of all auto accident victims in Dole County found that, of the severely injured
drivers and front-seat passengers, 80 percent were not wearing seat belts at the time of their
accidents. This indicates that, by wearing seat belts, drivers and front-seat passengers can
greatly reduce their risk of being severely injured if they are in an auto accident.

The conclusion above is not properly drawn unless which of the following is true?
(A) Of all the drivers and front-seat passengers in the survey, more than 20 percent were
wearing seat belts at the time of their accidents.
(B)Considerably more than 20 percent of drivers and front-seat passengers in Dole County
always wear seat belts when traveling by car.
(C) More drivers and front-seat passengers in the survey than rear-seat passengers were very
severely injured.
(D) More than half of the drivers and front-seat passengers in the survey were not wearing seat
belts at the time of their accidents.
(E) Most of the auto accidents reported to police in Dole County do not involve any serious
injury
[Reveal] Spoiler: OA
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Re: Logic [#permalink] New post 25 Mar 2011, 22:19
Can someone clarify why A is OA?
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Re: Logic [#permalink] New post 25 Mar 2011, 23:14
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This argument comes to a conclusion about the benefits of seatbelts without providing any data about what happens to people who wear them. Let's look at a similar scenario: Imagine that I perform a study that finds that most people with heart disease are not Dutch. Could I conclude that being Dutch protects against heart disease? No, because most people *without* heart disease aren't Dutch, either! I would have to see some data showing that Dutch people show up more in the general population than they do among heart disease sufferers.

Similarly, if we look at all the people who get in accidents--whether they get injured or not--and we don't see more than 20% wearing their seatbelts, then this data doesn't show that seatbelts are safe. It just shows that not many people wear them. If that's the case, then the conclusion doesn't make much sense--seatbelt wearers appear to be getting injured just as much as everyone else (even more, if they represent *less* than 20% of the group). On the other hand, if the assumption in A is correct, and more than 20% of people who get in accidents have their seatbelts on, then we have to wonder why more of them weren't injured. The conclusion starts to look much better.

I hope that helps!
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Re: Logic [#permalink] New post 26 Mar 2011, 19:23
Thank you for great explanation!!!
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A recent survey of all auto accident victims in Dole County [#permalink] New post 09 Jul 2014, 10:05
suppose in a town there are 100 people driving vehicles, 40( more than 20 %) wore seat belts , 60 did'nt.
accidents take place.... 10 result in serious cases..... 2 were wearing seat belts 8 were not.....
chances of serious accident----- for those with seat belt- 2/40 ie 5%
-------for those without seat belts- 8/60 ie 13.5 %.

hence conclusion true.....ans = A.............
A recent survey of all auto accident victims in Dole County   [#permalink] 09 Jul 2014, 10:05
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