What coyotes kill very often is family dogs.
And cats, kittens, chickens, chicks, lambs, goat kids, calves, piglets, etc. These are moneymakers for property owners and losing them to coyotes is money not put in the bank and less food on the table.
(Yes, cats. They eat the mice that would otherwise eat the feed).
Not if you protect them (the dogs, that is).
My dogs live indoors. When the weather is nice we go on walks through my woods. At night, they go into our front yard to "do their business." But Dad is standing on the porch with a .22 automatic pistol with an extra magazine in my pocket, and a pump 12-gauge as a stand-by. No coyote is going to hurt my dogs.
I live in Nevada, prime coyote country. When Californians move in and buy a house on the edge of town, their "outdoor" cats quickly disappears--coyote dinner.