Source : Webster's Revised Unabridged Dictionary (1913)

Correctly \Cor*rect"ly\ (k?r-r?kt"l?), adv.
   In a correct manner; exactly; acurately; without fault or
   error.

Source : WordNet®

correctly
     adv : in a correct manner; "he guessed right" [syn: {right}, {aright}]
           [ant: {incorrectly}, {incorrectly}]