Recent studies in the United States have discovered that accident rates actually have risen in 75% of the states who have banned texting while driving. The data in this study supports previous findings by the University of Glasgow.
Of course the problem is not that people get in more accidents when not texting, the problem, as explained in the research, is that people are continuing to text while driving. The "driving while texting", or DWT as I shall now refer to them, crowd are however afraid of apprehension so they are holding their texting devices well below the dashboard so as not to be observed texting. This means that they must take their eyes off the road more often to text and thus they are getting in more accidents.
If this is not proof positive of natural selection at work I don't know what is.