The episode you are likely referring to is which is Season 1, Episode 16 of the original Alfred Hitchcock Presents series. It originally aired on January 15, 1956. Plot Summary

The story follows (played by John Cassavetes), a dangerous convict who escapes from a state penitentiary and seeks refuge in a remote farmhouse. He finds a young housewife, Mary Schaffner (played by Marisa Pavan), home alone while her husband is away. Cobbett intimidates her with a knife, forcing her to cook for him and help him evade the massive police manhunt.

As he hides, Cobbett listens to radio updates on the search and becomes increasingly arrogant, believing he has outsmarted the authorities. He even scripts Mary's answers during a phone call with her mother to ensure no suspicion is raised.