Some simple logic about Hasidic child molesting

Simple logic suggests child abuse is more common in insular communities where they have less awareness, and where its much riskier and less accepted to go to the police. 

Let's say for the sake of argument that 1 out of 100 men is a child molester. In the secular world, children are taught to report impropoer touching and there is no taboo against going to the police. As a result, the secular 1/100 guy has far fewer opportunities to act on his proclivity. 

In a hasidic community, on the other hand, the 1/100 guy faces far fewer obstacles. Kids aren't taught to protect themselves or to report abuse and their parents are often afraid or prevented from reporting crimes.  Without such safeguards, why wouldn't there be more abuse in closed communities?
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