Competition for ethnic group (4)
I believe the answer is:
race
I believe this is a double definition.
'competition' is the first definition.
(I've seen this before)
'ethnic group' is the second definition.
(thesaurus)
'for' is the link.
(Other definitions for race that I've seen before include "Participate in speed contest" , "The ... is not to the swift (Bible)" , "compete to come first" , "Speed competition" , "Move fast" .)