The English word naughty originated from an old Anglo-Saxon word meaning worthless or nothing. The traditional King James translation of the Holy Scriptures uses "naught" or "naughty" where other versions use words like "nothing" or "worthless" (numerically, some people still today say naught where others say zero). When the Bible uses the term "naughty" for people, it isn't saying that they are worthless, but is referring to their choice of behavior by which they make themselves righteously worthless.
"transgressors shall be taken in their own naughtiness"
Being "naughty" is a free choice.
"The righteousness of the upright shall deliver them: but transgressors shall be taken in their own naughtiness." (Proverbs 11:6 KJV)
The characteristics of being "naughty":
"A naughty person, a wicked man, walketh with a froward mouth. He winketh with his eyes, he speaketh with his feet, he teacheth with his fingers; Frowardness is in his heart, he deviseth mischief continually; he soweth discord. Therefore shall his calamity come suddenly; suddenly shall he be broken without remedy."
"These six things doth The Lord hate: yea, seven are an abomination unto Him: A proud look, a lying tongue, and hands that shed innocent blood, An heart that deviseth wicked imaginations, feet that be swift in running to mischief, A false witness that speaketh lies, and he that soweth discord among brethren." (Proverbs 6:12-19 KJV)
The Lord used an analogy of "naughty figs" as an object lesson about the vital importance of bearing good fruit:
"The Lord showed me, and, behold, two baskets of figs were set before the temple of The Lord, after that Nebuchadnezzar king of Babylon had carried away captive Jeconiah the son of Jehoiakim king of Judah, and the princes of Judah, with the carpenters and smiths, from Jerusalem, and had brought them to Babylon. One basket had very good figs, even like the figs that are first ripe: and the other basket had very naughty figs, which could not be eaten, they were so bad."
"Then said The Lord unto me, What seest thou, Jeremiah?"
"And I said, Figs; the good figs, very good; and the evil, very evil, that cannot be eaten, they are so evil."
"Again the word of The Lord came unto me, saying, Thus saith The Lord, the God of Israel; Like these good figs, so will I acknowledge them that are carried away captive of Judah, whom I have sent out of this place into the land of the Chaldeans for their good. For I will set mine eyes upon them for good, and I will bring them again to this land: and I will build them, and not pull them down; and I will plant them, and not pluck them up. And I will give them an heart to know me, that I am The Lord: and they shall be my people, and I will be their God: for they shall return unto me with their whole heart."
And as the evil figs, which cannot be eaten, they are so evil; surely thus saith The Lord, So will I give Zedekiah the king of Judah, and his princes, and the residue of Jerusalem, that remain in this land, and them that dwell in the land of Egypt: And I will deliver them to be removed into all the kingdoms of the earth for their hurt, to be a reproach and a proverb, a taunt and a curse, in all places whither I shall drive them. And I will send the sword, the famine, and the pestilence, among them, till they be consumed from off the land that I gave unto them and to their fathers." (Jeremiah 24:1-10 KJV)
Fact Finder: As described in the verses above, what happened to the people of the kingdom of Judah when they were "naughty"? What also happened to the people of the kingdom of Israel when they were "naughty"?
See Why Babylon? and The Galilee Captivity