I'm not going to walk the dogs with my dad
Did something happen between you and your dad?
No, I don't want to walk the dog, I want to go to a party.
While it is understandable that you would want to go to a party, if you committed to walking the dog with your dad, you should do that first before you do other things that you'd prefer. It is important to keep commitments that you have made.
I'm not going to do it. I'm a girl and I will do what I want.
Hey, I tried to help you, you'll understand it some day. You should try to spend time with your parents while you have them.