I don't know if someone has responded to this yet or not. Unless you're a great shot, a .22 is an awfully small missile to hit a moving target in a specific spot. The dogs won't stand still for you. There is a possibility of massively injuring the dog and having to go up to it and shoot again, which can be heartbreaking - even though it wants your chickens. Shotgun has a more definite kill zone. Just my 2 cents.
That is true. But sometimes the dog stands still(as in the last dog we shot...and it was one shot to the chest/heart) and you can't get close enough for a shotgun(most dogs who are habitual strays and are used to getting shot at), then you have to use the .22, which has ammo that is cheap and accessible, doesn't travel quite as far as other rifles if you miss, and is very, very quiet compared to other guns. Quiet is imperative when shooting a neighbor's dog. Trust me.
We keep both tools on hand for both eventualities, so both are a good choice for farm chores such as this. A hollow point .22 can put down a dog quickly if you are any good at all with a gun.
I am definitely going to be practicing a LOT before I feel confident to take that shot. I really don't want to have to explain that we shot the dogs so quiet is a plus.... Oh why can't people be responsible with their critters!?