i couldnt tell you. you have the car. figure it out!

If your car runs when you take the pos terminal off, The alternator is doing its job and working. Just get a new battery and try it out. Its a good idea to change your battery after a while anyway.

take the (+) off the battery and the car should run??

Well, it might not, but if it does, Your alternator is working. It was more directed at levi, saying when he takes his terminal off the battery wont die.