This isn't the best visualization, but I just spent a couple minutes overlaying the New York map with Trulia's crime risk heat map[1,2]. I think the important takeaway is that the green dots visible in the red areas can be interpreted as false negatives for danger. Of course, this is a really, really rough sketch so take it with a grain of salt.
[1]: http://www.trulia.com/local/new-york-ny/tiles:1|points:1_cri...