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Understand the accuracy of medical tests in detecting diseases based on probabilities. Calculate the likelihood of having the disease with a positive test result.
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The probability that a medical test will correctly detect the presence of a certain disease is 98%. The probability that this test will correctly detect the absence of the disease is 95%.
The disease is fairly rare, found in only 0.5% of the population. If you have a positive test (meaning that the test says “yes, you got it”) what is the probability that you really have the disease?
Among those with a positive test, the proportion with The disease is (about 9%) .
Among those with a negative test, the proportion with out the disease is (99.9894%) .