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False Positive HIV Test

Imagine an HIV test that is 95% accurate (false positive rate of 5%) and around 2% of the tested population is infected with HIV. What is the probability that you actually have HIV when your test comes back positive?

29%

To read more about this, see the False Positive Paradox page on Wikipedia.


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1 Comment on "False Positive HIV Test"


T says
October 19, 2018 @ 15:52

Please could someone explain the maths behind how to get to this solution?


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