Roy Fleming (Don Knotts) is fairground operator of a kiddie-spaceship ride in Sweetwater, Missouri. Despite being 35 years old, he still lives with his parents and suffers from extreme acrophobia (fear of heights). His father Arbuckle (Arthur O'Connell) wants better things for his son, so he sends an application to NASA. Roy later learns from his mother (Jeanette Nolan) that NASA has accepted him as a "WB-1074".