Brown bears maul people. Black bears eat people.
Alaska rule of thumb
Your black bears must be a lot bigger and tougher than the east coast city bears!! Or maybe you meant that black bears eat whatever is left after the brown bear is done?
When I was doing back country hiking in Idaho and Montana many many moons ago the rangers / guides would have fun with the tourists telling them to hike with little bells and pepper spray to avoid being eaten by a grizzly. Then they would tell them how to identify grizzly scat to determine if a bear was in the area. The grizzly scat would be loaded with little bells and smell like pepper spray. They seemed to think that was real funny. I saw a lot of black bears and they just ignored us. I never did see a grizzly (in the wild), but it sure would have been exciting.
I don't have a problem diving with sharks or paddling a kayak through gator infested swamp, but hiking in bear territory had me constantly looking over my shoulder and jumping at every strange sound. I guess it all comes down to what you are used to and what you grow up dealing with.
Ed