That depends. On our farm we are serenaded by coyotes, but due to the large herd that we have we haven't had any problems with them but on very rare occasions. Out horses recognize them and will gangue up on a predator all at once, and if the predator isn't smart enough to run then they get trampled. We have found Coyotes in our woods dead form broken hips or limbs before, even if they aren't anywhere near our horses.
But also our older mares hate dogs because of this and will chase off or stomp strange dogs that they don't know. One dose not take any chances and weather if she know's it my dog or not she will kill it.