Mmmmmmmmm? You should have two hoses on your water pump one on top and one on bottom. They both connect to your radiator. The hose it sounds like your refering to is your sending hose to the radiator. It shouldn't be a dead end. It should be conected to your radiator. This seems way off base to me. I would think that if your bottom hose is pouring water would make your vehicle damn near undriveable. Are you sure it's comming from your water pump? How big around is the hose?
Give us some more details and we will figure it out for ya!