What happens if I break my iPhone 6 screen three days after I got it?

I just got my iPhone 6 Sunday and I got a Survivor case for it and I went to a baseball meeting with my coach to close out the season and as I'm waiting at the first step of the stairs to have the meeting, a kid came up behind me as I was on the phone and grabbed it really hard at the right top corner of the screen and wouldn't let go and screamed "I have an appointment at 3:10!" And it was 3:05. The screen itself is fine looking, but I don't think it's fully responding to my touch. If I want to replace my phone with Apple, will it cost me anything or should I replace it through my provider?

If you damage it then of course you have to pay, they arent in charge of taking care of stuff for you. Should they also replace any dishes you break in your house?