To balance the "no worries" messages:
1) Only if you're running/jogging is the cat likely to attack: no--at least one person was attacked while he was stopped & tinkering with his mountain bike, & another man stepped onto his porch to go in the front door & a cat was around the corner & attacked him there, & another cat dropped down from a tree onto slowly-walking horse & rider, & other people have been attacked at a sedate stroll/sitting/standing. Some cats are emboldened by having rabies, as well.
2) Only be concerned at dawn & dusk: no--cougars are opportunistic predators; they'll attack-- & have-- at any hour.
3) It's very rare for a cougar to attack: no--since they're opportunistic hunters, they will, usually, if the opportunity arises. They don't care if one's a human, it's all good eats to them. The only chance you have is to scare them somehow (looking as large as possible), weapons, etc., & the grace of G-d.