Well, with the World Series going on, how about a study of the statistics and probability of a baseball team (according to it's position in the season-end standings) reaching or winning the World Series since the change to the present layout of six competing "Divisions" in each league, the institution of the "Wild Card", and present playoff format?
Not too wide a statistical base (only a few years) -- easy access to data, and even unprovable conclusions -- so you can make your own theory at the end....
Or if you're not a baseball fan, you could do the same thing with the NFL. One of the secrets of doing well on any project is having an interest in the subject!
