For hunting, until you're somewhat experienced I'd strongly recommend using marksman, rather than melee/unarmed.
Slings hit much fast but not for much, whereas bows hit hard but slowly.
I'd recommend using a sling until your marksman is 50-60.
Also note that the marksman level used by a sling is equal to its Q*2, e.g. a sling of quality 13 wouldn't benefit from a marksman level higher than 26.
Bows cap in a similar way, but the formula is slightly different with the introduction of arrows, check the wiki for more info.
Simple question thread:
viewtopic.php?f=2&t=22391