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
"Alfred Hitchcock Presents" You Got to Have Luck (TV ... - IMDb Alfred Hitchcock Presents(1955)116 SubtГtulos d...
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. The episode you are likely referring to is