This is such a replayed topic. It seems this comes up about every 2 months. But here is my answer:

I've used my Winchester 9422 lever action .22win mag now for almost 10 years. Along with a .17Rem and .223 (both centerfires). I'd say that 90%of my predator hunting time is with my .22win mag.

I've never lost a coyote with the .22WMR. Then again, I get all camo'd out and "de-scented" and try to call a coyote to within "bow-range". I generally shoot when the yote is within 15-20 yards or closer. I enjoy the hunt much more when I can call the animal in as close as possible.

22WMR works for me. CCI hollowpoints is what I use.