For practical puposes, Hawks is correct (unless you're shooting from a machine rest:
The accuracy at target is the root-mean square value of the combined rifle precision and the shooter's hold.
Unless tricked up with sandbags, normal hunting conditions will greatly overshadow all but the most inaccurate rifles:
to wit if you're really good with target hold in hunting conditions at 100 yards:
0.5" rifle/3" target hold => 3.04" CEP at the target
1.5" rifle/3" target hold => 3.35" CEP at the target
3.0" rifle/3" target hold => 4.24" CEP at the target
... little practical difference for anything but headshots at ground squirrels...
(which is not to say that I always want the more accurate rifle anyway)