dairy product vs yogurt

dairy product and yogurt both are nouns.

Word	Noun	Adjective	Verb	Adverb
dairy product	Yes	No	No	No
yogurt	Yes	No	No	No

As nouns, yogurt is a hyponym of dairy product; that is, yogurt is a word with a more specific, narrower meaning than dairy product:

Other hyponyms of dairy product include milk, cream, half-and-half, butter, yoghourt, yoghurt, whey, curd, clabber, cheese.

dairy product (noun)	yogurt (noun)
milk and butter and cheese	a custard-like food made from curdled milk