I can tell you're an expert on the subject from the very technical language you use.
Here's a preliminary release on the original study: http://www.thelancet.com/pdfs/journals/lanonc/PIIS1470-2045(...
They picked a 95% confidence level, which means they accept that 1/20 of their positives will be false positives.
They did this when conducting a study on "more than 15 types of cancer".
These people are about as smart as you are.