The amount of people who were raped and never went to the police could be much higher than the amount of people who lied to the police about being raped.
Pretty sure. my guess is that the true number is at least 15%, based largely on the sort of accounting found here:
http://slatestarcodex.com/2014/02/17/lies-damned-lies-and-so...
(The lower bound is 2-10%; the upper bound is 20-40%)
> The amount of people who were raped and never went to the police could be much higher than the amount of people who lied to the police about being raped.
This is true, but here is a factor you are overlooking:
"While rape victims have some incentives to report their cases to the police – a desire for justice, a desire for safety, the belief that the evidence will support them – false accusers have very strong incentives not to – too much work, easier revenge through other means, knowledge that the evidence is unlikely to support them, fear of getting in trouble for perjury if their deception gets out. So I consider it a very conservative estimate to say that the ratio of unreported to reported false accusations is 4:1 – the same as it is with rapes. A more realistic estimate might be as high as double or triple that."
Advocates are correct to note that this "2-10%" includes some mistakes - true rape victims might be very confused in their testimony or might recant because they get frustrated with the justice system - but it still should probably be regarded as a lower bound on the actual number of false accusations, as it's a subset of the full total.
False accusations that wouldn't show up in this measurable "2-10%" include (a) those in which the accusation is plausible, consistent and the accuser does not recant, (b) false accusations that aren't ever brought to the police.