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Among those with a positive test, the proportion with The disease is

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%. .

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Among those with a positive test, the proportion with The disease is

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  1. 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%.

  2. 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?

  3. Among those with a positive test, the proportion with The disease is (about 9%) .

  4. Among those with a negative test, the proportion with out the disease is (99.9894%) .

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