mischief vs misbehavior

mischief and misbehavior both are nouns.

Word	Noun	Adjective	Verb	Adverb
mischief	Yes	No	No	No
misbehavior	Yes	No	No	No

As nouns, misbehavior is a hypernym of mischief; that is, misbehavior is a word with a broader meaning than mischief:

mischief: reckless or malicious behavior that causes discomfort or annoyance in others
misbehavior: improper or wicked or immoral behavior

Other hypernyms of mischief include misbehaviour, misdeed.

mischief (noun)	misbehavior (noun)
reckless or malicious behavior that causes discomfort or annoyance in others	improper or wicked or immoral behavior
the quality or nature of being harmful or evil