You're welcome. If you desire further enlightenment, I will gladly oblige.

Please be aware that I am skeptical of statistically based arguments.

Many stats are inaccurate, disputed by other studies, or inconclusive. Even accurate, undisputed stats are often meaningless or fail to support the conclusion in support of which they are cited.

Nevertheless, I will stipulate the accuracy of the ones you have cited.

If cases of rape are not reported then obviously those failing to report are not taking them seriously, thus supporting your claim. Unreported cases cannot result in a conviction or a jail term.

Assuming that reported cases are not prosecuted, there are many possibilities. One is that they are not "taken seriously" (whatever that actually means). That is the narrative preferred by feminists since it supports their ideology.

Another possibility is the district attorney believes that the available evidence is not likely to convince a jury that the defendant is guilty beyond a reasonable doubt. If the defendant is able to afford a competent defense attorney who is convinced the defendant will be acquitted at trial, he may refuse all plea bargains. The district attorney may realize that it is not worth the effort because, due to insufficient evidence, the defendant is unlikely to be convicted.

These possibilities are not mutually exclusive. They could all apply.

When I worked inside the prison, I encountered a substantial number of rapists. The woman who was in charge of the sex offenders’ program was always very busy. Where did all these rapists come from if perpetrators are not being prosecuted?

I am not involved in law enforcement. My lack of experience in that field limits me to speculation. I have personally known two women who were rape victims. Both were attacked when hitchhiking. Neither reported the incident to law enforcement. One got a large dog and continued hitchhiking. This happened years ago.

Whether reported rape cases are "taken seriously" is a matter of subjective judgment. If you believe they are not that is your prerogative. You asked for evidence and I cited the New York State statute. I maintain that the statute constitutes evidence. It is up to you whether you consider that evidence sufficient. Nevertheless, it is indeed evidence.

I would like to see all rapists convicted and sentenced to substantial prison time. However, I recognize that no law enforcement system will ever be perfect.

I hope this ninth-grade primer has answered your question.