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A recent survey of all auto accident victims in Dole County

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MBA Section Director
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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04 Oct 2015, 23:47
Nicely done. It became a pure quant problem
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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28 Feb 2016, 06:44
rahulsn84 wrote:
jitgoel wrote:
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.

The question stem is:The conclusion above is not properly drawn unless which of the following is true. It means it is a justify conclusion type of question (according to the Critical Reasoning Bible). In justify conclusion type of questions we need to link any new elements in the conclusion and the premise and ignore the common ones. The correct answer need not contain the common elements of the conclusion and the premise.

So in this case,
The premise:of the severely injured drivers and front-seat passengers, 80 percent were not wearing seat belts at the time of their accidents.
Conclusion: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
New thing from the conclusion and the premise is the percentage figure, so the correct answer should contain something related to this percentage figure. If we look at the answer choices
there are only two which mention the percentage figures Choice (A) and Choice (B).

Choice B is not the answer since we are concerned with the number of drivers and front-seat passengers wearing seat belts at the time of accident, which is what A says. The word "always" in B also makes this choice wrong.

Do let me know what you think of the reasoning provided above.

Agree with your analysis. The steam is always talking about non-users of seatbelt, to demonstrate that seatbeal is securer the answer choice has to state something about seatbelt users and only A and B answer choices talk about that.
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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12 Sep 2016, 14:27
My line of thought:

Survey contains people severely injured (SI) and non-severely injured (N-SI)
80% SI didn't wear seat belt (SB). It means 20% of SI wore SB.

Also the Non-Seriously injured were also prevented from getting Seriously Injured. They should have been wearing Seat Belts if argument has to be true.

So the effective %age of SB wearing people will be more than %age of SB wearing people who were severely injured (20)
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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17 Jun 2017, 13:16
p: x seatbelt/ severe injury= 80%
C: sb ---> - injury

I immediately thought of
sb / s injury = 20%
We want sb/ other (not in s injury sample) > 20%
To compare the percentage

But I was confused what should be the " other"
All drivers vs all victims (survey sample)
Which is B vs A

I did not notice the passage mentioned severe injury out of all victims.
I did not notice that the question stem is assumption
B is too broad ( thus too strict ) to be assumption
It would work as a weakened.

Thus A
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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17 Jun 2017, 14:25
Tricky question, the way I see the situation is as an experiment. For it to be valid, there must be a substantial amount of control group, which are those who wear seat belts. Option A provided this, however, another question would be the amount of control group i.e seat belt wearers needed to make the experiment valid. Yet, option A is good enough i.e over 0.2 meaning less than .64 are not wearing seat belts. Open for discussion.
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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19 Jun 2017, 07:26
2
I felt this to be a great question.
But a little time taking.
say 1000 total accidents occured.
100 of them S.Injured .
80 --> X seat belt.
20 ---> Seat belt.
Now,
Option A: for suppose its exactly 20% of people wore seat belt.
20 / 200 = 10% of accidents of seat belt are SI .
80 / 800 = 10 % of accidents of X Seat belt are SI
For suppose, it is less than 20% of people wore seat belt.
% of accidents of seat belt are SI Increases as 200 value increases while 20 remains constant.
Destroying the conclusion .
Hence, Answer should be A. .
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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26 Jun 2017, 10:57
Merged topics. Please, search before posting questions!
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A recent survey of all auto accident victims in Dole County  [#permalink]

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04 Oct 2017, 01:45
Hi,

This is pure Quants problem landed in CR bucket.

The argument wants to show wearing seat belts is safety.

how? by showing -

(no of serious accidents with seat belts / no of accidents with seat belts) < (no of serious accidents with NO seat belts / no of accidents with NO seat belts)

So if above ratio is true, wearing seat belt is safety and people are less prone to serious accidents

Given data: no of serious accidents with seat belts- 20%
no of serious accidents with NO seat belts - 80%

Let no of serious accidents be 10, so
no of serious accidents with seat belts- 2
no of serious accidents with NO seat belts - 8

Let number of total accidents be 100
no of accidents with seat belts = x
no of accidents with NO seat belts = 100 - x

And question is indirectly asking, what is the value of x or rather, what is range of x

now substitute in ratio equation we defined,
(no of serious accidents with seat belts / no of accidents with seat belts) < (no of serious accidents with NO seat belts / no of accidents with NO seat belts)
(2/x) < (8 / (100-x))
rearranging => 200 + 2x < 8x => 20 < x

So x (no of accidents with seat belts) > 20

Wow, this is what answer choice A says !! Bingo !! - safely eliminate other answer choices all we do in quants section - problem solving, once we find the right answer.

To be honest, I didnt get this question correct at first, by after reading all explanations, tried to come up with my own reasoning.
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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07 Oct 2017, 09:14
hi

does anyone know the source if this question?

thank you
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Re: A recent survey of all auto accident victims in Dole County  [#permalink]

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07 Oct 2017, 09:16
why B is wrong? the question says that this survey has considered all the accidents in the Dole county?
need help
Re: A recent survey of all auto accident victims in Dole County &nbs [#permalink] 07 Oct 2017, 09:16

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