deerslayer, there is so much data out there today I wouldn't worry about doing any "testing."
My testing is done for two reasons. First, I've been known to write about my findings. Bullet penetration tests from different cartridges, bullet weights, and muzzle velocities can be interesting to lots of folks.
Second, some bullets don't do what the manufacturer claims, or they don't do it in your cartridge. Believing the company ads and gun mag hype may be okay for more trusting souls, but I'll continue to indulge in my suspicious ways. For instance, my tests showed that the Nosler .264", 140 grain Partition won't expand evenly at ranges over 150 or 200 yards when muzzle velocity is in the 2700 fps range, or less. If you hunt with a 6.5x55, 6.5x57, or a 260 Remington, it's good to know that this bullet may tumble and fail to penetrate very deep after impact. There are plenty of others that work better in this cartridge.
Bullet performance is even more critical when handgun hunting. There isn't much in the way of a margin for error. Bullets designed for self defense may be terrible for black bear hunting. If deerslayer is using factory ammo with proper bullet weights and strong designs, and he knows what sane ranges are, things will work out.
Deerslayer, you haven't mentioned the cartridge, bullet weight, or bullet design, so I can't tell you how much paper you need. Hard cast bullets fired from magnum cartridges penetrate through feet of wet paper, not inches. Most expanding designs fired from common handguns stop in less than 16 inches, often much less. Deer don't require a super sturdy bullet, if you pick your shots with patience. What are you going to be hunting with?
In factory loads, for black bear, I'd lean towards Federal Cast Cor, or similar loads from Buffalo Bore or Corbon. If you're shooting one of these, don't bother testing, you'll be making holes that are plenty deep. Heavy for caliber expanding bullets designed for hunting are available in factory ammo these days, and those would be pretty good, too.