Project X (1987)

As punishment for a minor offense, the Air Force assigns pilot Jimmy Garrett (Matthew Broderick) to watch over a group of chimpanzees used for military experiments. Jimmy bonds with Virgil, a chimp capable of communicating with sign language. But when he witnesses the military's plan to kill the animals with radiation, Jimmy enlists the help of Teri MacDonald (Helen Hunt), the graduate student responsible for teaching sign language to Virgil, to free the chimps.