From WordNet (r) 3.0 (2006) [wn]:
correctly
adv 1: in an accurate manner; "the flower had been correctly
depicted by his son"; "he guessed right" [syn:
correctly, right, aright] [ant: incorrectly,
wrong, wrongly]
From The Collaborative International Dictionary of English v.0.48 [gcide]:
Correctly \Cor*rect"ly\ (k?r-r?kt"l?), adv.
In a correct manner; exactly; acurately; without fault or
error.
[1913 Webster]