associated state vs district

associated state and district both are nouns.

Word	Noun	Adjective	Verb	Adverb
associated state	Yes	No	No	No
district	Yes	No	Yes	No

As nouns, district is a hypernym of associated state; that is, district is a word with a broader meaning than associated state:

associated state: a state or territory partly controlled by (but not a possession of) a stronger state but autonomous in internal affairs; protectorates are established by treaty
district: a region marked off for administrative or other purposes

Other hypernyms of associated state include dominion, territorial dominion, territory.

associated state (noun)	district (noun)
a state or territory partly controlled by (but not a possession of) a stronger state but autonomous in internal affairs; protectorates are established by treaty	a region marked off for administrative or other purposes

associated state (verb)	district (verb)
	regulate housing in; of certain areas of towns