Hmm. Perhaps the line can be drawn a little closer to the truth, but i'm happy with the bias toward false negatives over false positives.
In death penalty cases, when you'd expect the justice system to work its absolute best, 5% were overturned when DNA evidence became reliable. 1 in 20 on they way to die because of false positives.
Cynic in me would say that if we jailed all top-tier politicians, we'd have less than 5% false positives. I honestly don't believe that in an established democracy (as opposed to freshly formed) you can get to the level of a minister or above without doing something illegal or immoral. The dynamics of the system clearly shows that.
In death penalty cases, when you'd expect the justice system to work its absolute best, 5% were overturned when DNA evidence became reliable. 1 in 20 on they way to die because of false positives.