Ok, well if they let you apply and paid the application fees than I seriously doubt that the situation is quite as dire as it appears to you at this moment. How many schools did you apply to? If its 4 or 5 you can spend some time doing real research on the schools that are your favorite so you can articulately argue your case with your parents when the time comes. I would suggest however, that you try not to worry about it too much before you have any idea where you have been accepted. I would avoid disagreements about it now, none likes to feel backed into a corner. Make a spreadsheet which highlights why you prefer Hotchkiss and St. Paul’s, perhaps your parents think that you are just being oppositional, what are the real reasons that you prefer those two schools?