A blood test is 90% effective in detecting a disease. It also falsely diagnoses that a healthy person has the disease 3% of the time. If 10% of those tested have the disease, what is the prob. that a person who tests positive will actually have the disease?
Is this right?
P(Has Disease | Positive test) = 0.90 * 0.1 / 0.90 * 0.1 + 0.03 * 0.1 = 0.96