Zingiberaceae vs monocot family

Zingiberaceae and monocot family both are nouns.

Word	Noun	Adjective	Verb	Adverb
Zingiberaceae	Yes	No	No	No
monocot family	Yes	No	No	No

As nouns, monocot family is a hypernym of Zingiberaceae; that is, monocot family is a word with a broader meaning than Zingiberaceae:

Zingiberaceae: a family of tropical monocotyledonous plants of order Musales
monocot family: family of flowering plants having a single cotyledon (embryonic leaf) in the seed

Other hypernyms of Zingiberaceae include liliopsid family.

Zingiberaceae (noun)	monocot family (noun)
a family of tropical monocotyledonous plants of order Musales	family of flowering plants having a single cotyledon (embryonic leaf) in the seed