You can argue that families both contribute to and alleviate the problem of crime (probably not usually in the same family).
On the one hand, a dysfunctional family can help contribute to the problem of crime. If a child lacks supervision or, worse, if the child sees family members committing crimes, he or she is much more likely to commit crimes.
On the other hand, families can reduce crime. "Strong" families are more likely to inculcate good values in their children. This, along with the support they give their kids, will help prevent their kids from becoming criminals.