ARGE! Ok... here is how to prove to your parents you can handle it.
Watch the news with them for a week. If they watch law and order, watch that too. Ask them and say I can handle what's going on in this screwed up world. If that isn't enough, find the channel that shows lawmakers at work THEN that should PROVE you can handle a game!
CAUTION: 99% of the lawmakers are sick and corrupt individuals... you might see all sorts of hell and might never be the same.