io_io - "False positives"
>>"Imagine that you are a doctor and one of your patients asks to take an HIV test. You assure her that the test is unnecesssary as only one woman out of a thousand with her age and sexual history is infected. She insists, and sadly the test result indicates viral infection. If the HIV test is 95% accurate, what is the change that your patient is actually sick?"<<
io_io, that's the answer I came up with at first, since 50 of 1000 tests would come up with a false positive. However, if 1 in a 1000 will give a true positive (given that is the assumed frequency of true positives), then that means that testing 1000 people will give 50 + 1 = 51 positive results, of which only one will be a true positive.
So, I'd say the correct answer is that there is only a 1 in 51 chance that the patient is actually sick.
[/end picky mode]