I'm pretty sure YOU probably had to look this up before posing the question.
I deserve more respect than that, c'mon. Sorry for the delay, I had to go to work. Just got home, thank you.
Your answer is correct in most cases.
There are times where a runner can be hit with a live fair ball that wasn't touched or deflected by a defender, and then the umpire would give the safe signal meaning the ball is still live, not dead.
This would happen if the infielders were playing in, and the batted ball hits the runner AFTER it has clearly passed the infielder and the infielder clearly has no play on the ball. In this case, the umpire would have to give the safe signal to signify that the ball is still live and play continues.