I know a gun is much more lethal, but something about an angry property owner protecting himself and his family with medieval weaponry would scare the daylights out of me. I half-expected to see his neighbors enhancing their protection by building catapults and preparing pots of boiling oil to pour on invading mutants. LOL.
Visualize a broadhead arrow like this in your guts, and tell yourself a bullet would be more lethal.
At ranges under 50 yards, an arrow is just as lethal as a bullet, and the arrow can be cut out of the target and used again. It is also relatively silent, and has no muzzle flash. If an archer shoots you on a dark night, you will never see where the arrow came from, and your friend standing next to you will likely not immediately notice you were hit.
Swords, spears, and halberds never run out of ammo and don't jam. You can also select the degree of wounding you wish to inflict in your target, from a minor scratch to convince him to leave, to spilling his intestines across the driveway.
I would add that a pretty effective spear can be quickly created in seconds using a steak knife, a mop handle, and some duct tape.