Question 1132699: The NIH is creating a test for the Zika virus. The incidence of a Zika is low, 2 percent in the general population. There is a trial version, but it sometimes misses the disease. The probability of a false negative is 13 percent. Similarly, someone who does not have Zika, will sometimes get a positive reading. The probability of this is 10 percent.
Calculate the probability that a positive test result means someone has Zika.
(Answer in percent to 2 decimal places).
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Use a group of 10000, where 200 have Zika
------------------Test +-------------Test- ----------total
Person has-------174------------------26--------------200 false negatives are 26
Person doesn't----980-----------------8820-------------9800
Total------------1154-----------------8846------------10000
There are 1154 positive tests and 174 have the disease, so if positive, there is a 15.08% one has the disease.
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