Coyotes have been a common sight here for as long as I can remember. It is not uncommon to see 2-3 on my way to work early in the mornings. I can walk within 30-40 feet of them sometimes and they don't bother me and I don't bother them...

To keep things in perspective...

Over 300 people have been killed by domestic dogs in the U.S. between 1979 and the late 1990s (Humane Society of the U.S., reported in Tracking and the Art of Seeing, Paul Rezendes, second edition, 1999, p. 194). This means that your family dog or your neighbor's dog is ten times more likely to kill you than a mountain lion and hundreds of time more likely than a coyote attacks.