belief vs hunch

belief and hunch both are nouns.

Word	Noun	Adjective	Verb	Adverb
belief	Yes	No	No	No
hunch	Yes	No	Yes	No

As nouns, hunch is a hyponym of belief; that is, hunch is a word with a more specific, narrower meaning than belief:

Other hyponyms of belief include presence, effect, first blush, intuition, suspicion.

belief (noun)	hunch (noun)
any cognitive content held as true	the act of bending yourself into a humped position
a vague idea in which some confidence is placed	an impression that something might be the case

belief (verb)	hunch (verb)
	round one's back by bending forward and drawing the shoulders forward