You don't want a broken, weak connection. The carvability is probably the most important aspect of choosing a pumpkin, and surprisingly the one most overlooked by people choosing pumpkins. Carvability refers to the face of the pumpkin that you will be carving into. There are several things you must keep in mind when determining the carvability of your pumpkin. First is the carving face itself.
Most pumpkins have a definite front and back, and the carving face is usually the front.
To determine the front and back sit the pumpkin on a relatively flat surface and see which way the pumpkin leans. Usually a pumpkin will lean one way or another. When pumpkins grow in the patch they don't usually grow sitting upright, most lay on the ground on their side. This is apparent in most pumpkins by a flattened, pale side. In most cases when your pumpkin sits upright the flattened side will be the back.