Which statement accurately describes one of theodore roosevelt's accomplishments as president?
a. he led the united states to victory in world war i.
b. he granted u. s. citizenship to all native americans.
c. he negotiated a peace treaty between russia and japan.
d. he gave the philippine islands their independence.

"c. He negotiated a peace treaty between Russia and Japan" would be the only correct option from the list, since the others took place either when he wasn't in office or not at all. 

Correct  He negotiated a peace treaty between Russia and Japan.

About the incorrect answers:  

Woodrow Wilson was US president during the World War I years.The United States took possession of the Philippines in 1898  (a couple years before Roosevelt's presidency).  The US did not grant independence to the Philippines till 1946.In an 1886 speech, Teddy Roosevelt had said, "I don’t go so far as to think that the only good Indians are the dead Indians, but I believe nine out of every ten are.  And I shouldn’t like to inquire too closely into the case of the tenth.”   Roosevelt brought that attitude into office with him during his presidency (1901-1909).  As reported by Alysa Landry in an article for Indian Country Today: (June 28, 2016): "Roosevelt’s seven and a half years in office were marked by his support of the Indian allotment system, the removal of Indians from their lands and the destruction of their culture."