So young! You have plenty of time. (There are quite a few people who went back to study and didn't start working professionally until their 30's.) First, just be aware the animation industry does not require a degree for a job - but skills. So you don't NEED to attend an expensive art school.
That being said it's not a bad idea to work for a few years - not only will you save money for school, you can work on a portfolio to increase your chances of a scholarship. I would encourage you to try and find a local life-drawing class; sometimes they can be at a local community college, or even a museum or community center. Take an acting class! Animation is about performing!
I'd highly recommend the Drawn To Life books from Walt Stanchfield; he talks about the kind of gesture drawing that is really important to know in the animation industry. You might also be interested in looking up artist blogs like Mark Kennedy -
http://sevencamels.blogspot.com/ Oh! you'd probably enjoy the animation podcast too!
http://animationpodcast.com/
Also, if your parents are concerned that being in animation doesn't pay anything, you might want to have them look at the Animation guild website - it lists the wages for various positions. Animationguild.org
Granted, that's US-centric - And mostly Southern California centric - I don't have info for other areas.
That being said it's like any other craft; it takes a lot of time to build up your skills - and there are a lot of people that want to do it who never develop to a professional level.
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