Scopes don't help you shoot better. They help you see better. On a target range, with a black bull against white paper, I can shoot effectively hundreds of yards. But in the field, my target can easily be much harder to see. Heck, in bad light, I might not even be able to see the front sight.
It doesn't take much scope to really help one see better. Even the 2.5X scopes help alot. E