wrongly

From Middle English wrongly, wrongliche, equivalent to wrong +‎ -ly.

wrongly (comparative more wrongly, superlative most wrongly)

In violation of a moral or other standard, code, or convention; in an unfair, unjust, dishonest, or immoral manner; wrongly convicted is synonymous with wrongful conviction and miscarriage of justice.
Synonyms: unfairly, unjustly, dishonestly, immorally, wrongfully; see also Thesaurus:unvirtuously
Incorrectly, mistakenly; by error.
Synonyms: incorrectly, mistakenly, erroneously

Antonyms: correctly, rightly

I wrongly assumed that it would be an easy job.
- 1950, Norman Lindsay, Dust or Polish?, Sydney: Angus and Robertson, page 41:
  "The minute I put my nose in that door she was at me for a drop of gin, but having no instructions to supply it, and being strictly teetotal myself, I have not done so, whether rightly or wrongly I leave you to judge, doctor."
- 2023 December 20, Maria Cramer, “He Was Wrongly Convicted of Killing Her Father. She Set Out to Free Him.”, in The New York Times‎, archived from the original on 20 December 2023:
  In March 2021, Mr. Livingston finally went up for parole after one of the lawyers from Appellate Advocates, De Nice Powell, argued he had been wrongly sentenced in the razor-blade contraband case and got the sentence reduced.

In American English, this word usually has a moral connotation, although it is not wrong to use "wrongly" as the opposite of "correctly".

In an unfair or immoral manner; unjustly

incorrectly; by error