SOLUTION: A certain disease has an incidence rate of 0.9%. If the false negative rate is 5% and the false positive rate is 2%, compute the probability that a person who tests positive actual

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Question 1156413: A certain disease has an incidence rate of 0.9%. If the false negative rate is 5% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Look at 10000 people
expect 9 to have the disease. False + is T+ D-, True negative rate is 95%
T+. T- Total
D+ 88.2 1.8. 90
D- 495.5 9414.5 9910
583.7. 9416.3 10000
Person who tests positive has the disease with probability 88.2/583.7=15.11%