I totally agree with everyone here. If you really want to come, i would highly suggest convince your parents or trusted friends/ family members to come with you because at AN 2012 there were a lot of families that actually came with their children whether they were cosplayers themselves or just there for support of the fact they were paying for the hotel. I started going to AN north when I was 19, and even at 19 years old I was scared as to how I would enjoy myself at this convention but on my first day it was awesome and I told myself I would be going again.
I would try and convince your parents to at least come with you for one day or if you are lucky to come for 3 days and let them get a taste of the convention maybe that will help to convince in them for later years. Because hey...Anime may not be for all parents who come.