They mean false negative from a statistics point of view, which is what this literally is (if we take the author's assumption that they're qualified at face value). A false negative is an error in the process.
madamelic is saying that the described interview process would select against qualified candidates because some of the items on the answer sheet are flat-out wrong.
Analogy would be if we were evaluating a blood-pressure drug, but our BP-measurement cuff was miss-calibrated and all readings were -10 from reality.
