Is there any other adult that you can call who will help you get the dog to a vet? A neighbor or a family member? A teacher or clergy person might also be willing to help out.
If not, then you are going to have to call Animal Control and report your dad. They will come and take your dog to the hospital. If you don't have the number for Animal Control handy, call the non-emergency police number. If you don't know that, just call 911 and immediately tell them that you need Animal Control for a dog medical emergency and they will connect you to the right people.
Good luck!
ETA: You know what, ask that a Police Officer comes along too. Then if your dad tries to give you a hard time, they can protect you. I can see where you might be afraid of your dad if he's been drinking, and the Police will keep you safe.