pool stick vs sports implement

pool stick and sports implement both are nouns.

Word	Noun	Adjective	Verb	Adverb
pool stick	Yes	No	No	No
sports implement	Yes	No	No	No

As nouns, sports implement is a hypernym of pool stick; that is, sports implement is a word with a broader meaning than pool stick:

pool stick: sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards
sports implement: an implement used in a sport

pool stick (noun)	sports implement (noun)
sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards	an implement used in a sport