In my opinion, a shotgun is a solid bet for home defense. They're cheap, reliable, and intimidating. I personally would grab my double-barrel coach gun prior to grabbing anything else. I believe that shotguns are the ultimate close quarters weapon, which in turn makes it my go-to choice for home defense. That being said, it really comes down to shooter preference.
God made all men, but it was Sam Colt who made them equal.