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For what percent of those tested for a certain infection

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For what percent of those tested for a certain infection [#permalink] New post 06 Jan 2013, 01:59
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For what percent of those tested for a certain infection was the test accurate; that is, positive for those who had the infection and negative for those who did not have the infection?

(1) Of those who tested positive for the infection,1/8 did not have the infection.
(2) Of those tested for the infection, 90 percent tested negative.
[Reveal] Spoiler: OA

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Re: For what percent of those tested for a certain infection [#permalink] New post 06 Jan 2013, 02:19
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gmatbull wrote:
For what percent of those tested for a certain infection was the test accurate; that is, positive for those who
had the infection and negative for those who did not have the infection?

(1) Of those who tested positive for the infection,1/8 did not have the infection.
(2) Of those tested for the infection, 90 percent tested negative.


For my simplicity I took a smart number as 80.
In the attached diagram, we are supposed to find the red area.

We don't have sufficient information to find the red area.
+1E
Attachments

DS.png
DS.png [ 14.07 KiB | Viewed 1883 times ]


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Re: For what percent of those tested for a certain infection [#permalink] New post 08 Jan 2013, 01:00
@Marcab,
I did it the same way too, and the approach (matrix) looks less confusing
than other methods.
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Re: For what percent of those tested for a certain infection [#permalink] New post 08 Jan 2013, 05:08
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@GMATBull
Can you throw some light on other methods too?
It will be much helpful.
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Re: For what percent of those tested for a certain infection [#permalink] New post 09 Jan 2013, 09:25
gmatbull wrote:
For what percent of those tested for a certain infection was the test accurate; that is, positive for those who
had the infection and negative for those who did not have the infection?

(1) Of those who tested positive for the infection,1/8 did not have the infection.
(2) Of those tested for the infection, 90 percent tested negative.



I approached as shown below:

The question asks for %age of accuracy.
1. This option is doesn't give complete information. It says 1/8th did not have infection, but OUT OF HOW MANY POSITIVES. And another detail that is missing here is about accuracy of those who are tested negative. so, INSUFFICIENT.

2. 90% are negative, but what is the accuracy of those tested negative/positive? This information is not present. so, INSUFFICIENT.

(1+2) for positives accuracy is 1/8th of 10% (100 minus 90). For negatives, we dont know accuracy. so, INSUFFICIENT.

Answer E
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Re: For what percent of those tested for a certain infection [#permalink] New post 17 Jan 2013, 05:21
isn't this question asking for 2 variables? I got the answer E
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Re: For what percent of those tested for a certain infection [#permalink] New post 18 Jan 2013, 11:17
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fozzzy wrote:
isn't this question asking for 2 variables? I got the answer E


Attachment:
Infection tests.jpg
Infection tests.jpg [ 122.08 KiB | Viewed 1546 times ]


I think this problem goes beyond 2 variables. You can use the overlapping sets table, as there can be 4 possibilities for patient to be infected/not-infected:
Tests are Positive & Accurate -> Patient is infected
Tests are Positive & Inaccurate -> Patient is NOT infected
Tests are Negative & Accurate -> Patient is NOT infected
Tests are Negative & Inaccurate -> Patient is infected

Our objective is to identify the value of cell marked in yellow (i.e. Accurate tests) hence find its ratio to TOTAL tests (i.e. % Accuracy)

(1) Of those who tested positive for the infection,1/8 did not have the infection.
INSUFFICIENT: Refer to the diagram, this gives no info to derive the value for yellow cell (i.e. Accurate tests)
(2) Of those tested for the infection, 90 percent tested negative.
INSUFFICIENT: Refer to the diagram, this gives no info to derive the value for yellow cell (i.e. Accurate tests)

Combining (1) & (2)
INSUFFICIENT: Even after combining the statements are INSUFFICIENT to derive the value for yellow cell (i.e. Accurate tests)

Hence Choice(E) is the answer.
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Re: For what percent of those tested for a certain infection [#permalink] New post 29 Jan 2014, 15:14
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Re: For what percent of those tested for a certain infection   [#permalink] 29 Jan 2014, 15:14
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