Ski mask murderer

Hi! I am looking for a black & white film or TV episode about a ski mask murderer. I always thought it was an episode of Alfred Hitchcock presents but I have checked them and it is not.
It is about a man that helps his female neighbor to find someone that is trying to break into her apartment. The guy installs a camera in her place and records the murderer with a ski mask. It ends when the murderer looks at the camera and removes his mask so the man whatching the video sees astonished that the murderer is himself. Thanks!

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