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 Although most English speakers use "correct/right" and "incorrect/wrong" interchangeably, it is actually correct to use "correct/incorrect" when referring to factual information and "right/wrong" regarding moral issues. It especially matters in examples like "What you just said is incorrect" and "What you just said is wrong." The former suggests that the speakers disagree about factual information, while the latter suggests that the first speaker made a moral error. The same reasoning applies to the use of "correct" versus "right."

Another EnglishForward user put it this way:

"'Wrong' is traditionally used to mean something is morally good or right - or that judgment is correct or inaccurate. It was used to mean an 'unjust action'. For example, it is used when someone is breaking the law.

'Incorrect' is used to point out something is factually wrong or inaccurate. If something is false it is incorrect. On a business document you would inform the company your address is 'incorrect'.

They may seem similar but their meanings and connotations are different.

Connotation refers to a word's set of attributes that create the word's meaning. They do not have the same attributes."

(from Glacierlily )

 

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