[1] - https://ovc.ojp.gov/sites/g/files/xyckuh226/files/ncvrw2018/...
Although on this topic I'd also add that urban areas have a similar issue. Criminals know that the overwhelming majority of crime goes unpunished, while people have a reality deluded by shows like CSI. Homicides, for instance, have the highest clearance rate, by far. And it's 47.5%. [1] Vehicular theft has the worst at 6.6%. If you end up with your window busted out and everything that's not strapped down stolen, there's no real point reporting it to the police unless necessary for an insurance claim because you're never getting that stuff back, and the thief is never getting caught.
[1] - https://en.wikipedia.org/wiki/Clearance_rate#In_the_United_S...