The following statements about black holes are true...
-although we are not 100% certain that black holes exist, we have strong observational evidence in favor of their existance
-if you watch someone else fall into a black hole, you will never see them cross the event horizon. however, they will fade from view as the light they emit (or reflect) becomes more and more redshifted
-if you fell into a black hole, you would experience time to be running normally as you plunged rapidly across the event horizon
-a spaceship might pass quite safely by the black hole at a distance of 10,000 kilometers, but at 10,000 kilometers from the center of the main-sequence star the spaceship would be deep inside the star. (Of course, the spaceship would be destroyed long before it got that close to the star's center.)