The mention of Hecht and MacArthur refers to playwrights Ben Hecht and Charles MacArthur, who famously collaborated on five plays that made it to Broadway: "The Front Page" (1928), "Twentieth Century" (1932), "Jumbo" (1935), "Ladies and Gentlemen" (1939), "Swan Song" (1946). All but "Swan Song" were also adapted to screenplays and made into movies, although these adaptations, with the exception of "Twentieth Century" had little, if any, input from Hecht and MacArthur.
Ann uses the saying "If they can put a man on the moon, they ought to be able to...". This episode aired on Nov 2, 1967 but they didn't put a man on the moon until over 20 months later in July 1969.