Statistics, Statistics!

I received an email this morning with the 'shocking news' that one third of people involved in traffic accidents in the US are taking medication.

Shock! Horror! Bur wait a moment.. Aren't one third of all Americans on medication? So.. the statistic only relates to Americans in general and has nothing to do with medication. 

That's not all. Doesn't the statistic also suggest (by default) that two thirds of people who are in traffic accidents have no medication. Doesn't that imply that it's TWICE as dangerous to drive without medication?