What size lug nuts?

I am looking to buy a set of the tall chrome acorn nuts for my Scamp for the ralley rimswith 5x4 pattern, Coker has 7/16 and 1/2 listed. But it takes a 3/4 socket to remove the factory nuts. Do i need the 7/16 lug nuts? I cant slide a 7/16 socket over the studs, and a 1/2 is bigger than the stud.