Contact (1997)

Factual error: When Mr. Hadden reviews Ellie's life history on his airplane, he says she graduated from MIT 'magna cum laude'. This is impossible, as MIT does not award academic honors to graduates.

Ellie Arroway: So what's more likely? That an all-powerful, mysterious God created the Universe, and decided not to give any proof of his existence? Or, that He simply doesn't exist at all, and that we created Him, so that we wouldn't have to feel so small and alone?

Trivia: Filmmakers George Miller and Francis Ford Coppola both sued Warner Bros. over Contact. George Miller sued for breach of contract (as he was the original director before being fired and replaced by Robert Zemeckis), while Coppola sued because he claimed that he and Carl Sagan (the writer of Contact) had already developed the premise for a TV show in the 1970's which was never produced, before Sagan later used the idea for Contact in 1985. Both suits failed - Miller's firing was within contract and perfectly reasonable, and Coppola was dismissed (twice) because he had taken far too long to sue the company (if he sued when Sagan began working in the 80's, he may have won, but he waited until after the film's release in 1997 to sue).

Question: How did they film the scenes where real historical figures (President Clinton, for instance) made speeches and comments they didn't make in real life?