SOLUTION: 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.

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.
RELATED QUESTIONS
A certain disease has an incidence rate of 0.7%. (This is percent of people in the... (answered by jorel1380)

A certain disease has an incidence rate of 0.6%. (This is percent of people in the... (answered by jorel1380)

A study examines self-esteem and depression in children. A sample of 25 children with low (answered by Boreal,robertb)

It is estimated that approximately 3 percent of the population is affected with the virus (answered by stanbon)

A medical research is studying the spread of a virus in a population of 1000 mice. During (answered by stanbon)

A certain virus infects one in 400 people. A test used to detect the virus in a person is (answered by ikleyn)

A certain virus infects one in every 300 people. A test used to detect the virus in a... (answered by jorel1380)

A certain virus infects one in every 500 people. A test used to detect the virus in a... (answered by Boreal)

Hi I am asking for a tutor to look and see if my answer is correct A certain virus... (answered by KMST)