Test results are hardly ever random (else we'd get 50% accuracy.. durr). Most of these tests are actually on a scale where you can "trade" false positives for false negatives simply by changing the cutoff. In other words, in general you can arbitrarily choose the false positive rate.If the test returns the wrong result at random over the entire population, then those rates are the same.
But yeah, attack well known statisticians now.
This is the same type of backpedaling we saw in the PoaT threads. "I didn't understand the clear question!"
It's a false assumption he used to teach the AVERAGE public. I'm sure he would not teach it that way in a real statistics class. And if he did, there would hopefully be a smartass in the audience to punk him like I just did to you.