The television will convert any compatible signal (24hz, 30Hz and 60hz) to 240Hz after the signal has been received. It should be understood that any picture shown on a 240Hz panel has been converted to 240Hz. That's not a setting, nor is it negotiable.
The INFO bar, on the other hand, is letting you know what Hz and resolution the incoming signal contains. All broadcast is pretty much going to be 60hz, and Blu-Ray can be 24Hz or 60Hz depending on the setting in the player. But all those signals will be upconverted in the TV to show at 240hz.
Does that help explain?
I bought a new Samsung 55" LED-HDTV with a 240Hz. Everytime I watch TV or play Xbox it says 60Hz at the top. How do I increase it to 240Hz? I can't find an option anywhere. (My model number is UN55C7000WF)