Nothing at all -- you're free to get whatever kind of dog you want. A correlation statistic does not brand you as a deviant -- the person chooses the dog, not the other way around. If the dog chose their owner, then maybe you'd have a valid complaint. But they don't.
So nothing in the stat says that owning a bit bull makes you a deviant. It -does- say that if you're a criminal, you might tend to get a pit bull rather than, say, a weiner dog or a french poodle. No surprises there.
"One can argue that choosing to own a vicious dog is a marker of social deviance because a vicious dog is, by definition, a socially deviant animal," said Barbara Boat, director of The Childhood Trust at the University of Cincinnati, who worked on the study.
The researchers said their findings could be useful for social and law enforcement workers.
"We suggest, regardless of dog breed, that failure to license a dog is a potential warning sign of other deviant behavior," they wrote.
http://www.sciam.com/article.cfm?chanID=sa003&articleID=4F97B077257BC3754BF87D1AA6965739