Actually, I think the false positives may be higher than that depending upon the source and the only reasons doctors are continuing to administer the test is to give them a reason to show the patient that their enlarged prostate needs a biopsy. IMO, in most cases they have probably already made that decision beforehand.
I still have a tough time understanding sensitivity and specificity percentages and how they inter relate. Here is a question for you. I know the answer only because they give it to you.
A test with 99.9% sensitivity and 99% specificity is used to screen a population for a disease with 1% prevalence. The proportion of test positives in the screen who actually have the disease will be roughly a. 10% b. 30% c. 50% d. 90% e. 99% f. 99.9%