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McCain has been an outspoken critic of Susan Rice, the ambassador to the United Nations, after she went on Sunday talk shows and said that the attack that killed four Americans at the U.S. Consulate in Benghazi appeared to be a spontaneous protest that was hijacked by extremists. Intelligence agencies later said it was most likely a planned assault by a militant group.

The White House says Rice was only following their talking points based on the best available intelligence at the time, but McCain and Sen. Lindsey GrahamLindsey Olin GrahamAlabama election has GOP racing against the clock Graham on Moore: 'We are about to give away a seat' key to Trump's agenda Tax plans show Congress putting donors over voters MORE (S.C.) have accused Rice of misleading the public.

Rice is rumored to be a top candidate to become Secretary of State when Hillary ClintonHillary Diane Rodham ClintonO’Malley tells Dems not to fear Trump FBI informant gathered years of evidence on Russian push for US nuclear fuel deals, including Uranium One, memos show Pelosi blasts California Republicans for supporting tax bill MORE steps down, but McCain and Graham have said they would oppose her nomination. 

McCain said on Sunday that he would "give all nominees the benefit of a hearing process."

But he added that Rice should go back on "Face the Nation" to explain that she gave the wrong information to the American people.

"That might be a beginning," McCain said.