Why isn't $g$ larger on the equator?

Question

I understand that at the equator, you will have maximum centripetal force acting on you, whereas if you're standing directly on the pole you will have none. But because centripetal is a resultant force, why isn't the value of $g$ GREATER on the equator because you'd need a greater force to 'pull' you inwards to force you to travel in circular motion?