"The French Mistake" is a song from the Mel Brooks 1974 film Blazing Saddles. In "Family Gay" the song was performed at a straight camp by Peter Griffin and the other campers. The camp staff presumably organized the performance as part of their lesson plan to turn the campers into heterosexuals, as the term is defined as "when an otherwise straight male is persuaded to, or on a whim in the heat of the moment, engage in a homosexual act of which he later regrets and of which is ashamed."