Maybe you Need also other skills - I forgot which, think the last one!
One of the other skills give more Chance to hit. (look in the description) strength is only how much damange the hit make.
Not true. Only the skill in the respective weapon class increases damage. Points in attributes raise attack rating, which increases chance to hit, for weapons of the appropriate attribute class (Dex for bows, crossbows and daggers, Str for other one-handed and two-handed, Int for staves).