This adjective that means "behaving disobediently or mischievously" comes from the Old English for "nothing"
... [Middle English 
noughti, wicked, from nought, nothing, evil, from Old English nwiht, nothing; see
... [DOC] [TLE] Naughtiness - definition of naughtiness by The Free Dictionary [PAR] Behaving disobediently or mischievously: a naughty child.