I am going into new york city today for a day trip and I was wondering about my battery. I am from CT where we currently do not have 4g so the battery life on my phone is not as bad as everyone has been saying. I do not plan to use my phone while in NYC since it is my day away to enjoy myself. I know that 4g will drain the battery even if the phone is not in use. Do you guys think my battery will last me all day?