Ok. Major fail. I went to the electronics store. Clerk picked out a mini-HDMI cable for me. It fit the camera and the TV HDMI port. Nothing. I had the video playing on the camera, plug in the cable to the camera, still playing, plug into the TV, nothing on camera, and "NO SIGNAL" on TV. The clerk tried a few dozen combinations of turn camera/Tv off/on. No luck. Verified proper HDMI connection. Tried cycling through all the HDMI inputs. Nothing. He passed me off to a second clerk who repeated everything and then tried a second TV. Nothing. I went back to the manual. It basically says: Plug in the mini-HDMI cable, press PLAY, watch movie. Not on my camera.
I can't get over the feeling that I am missing something basic and simple here. A video camera should be able to output to a video display device without this much trouble.