Not a dumb question, and actually a very common one.
The incoming signals for all peripherals on the market (cable/sat boxes, DVD, Blu-Ray, etc) are all 60Hz. The 120Hz processing happens inside of the television once the signal is received.
Likewise, you may see resolutions posted if you press the INFO button or change channels. Those are incoming signals, and all of the resolutions that come into the television are upconverted to 1080p for your model.
The panel will always show 1080p/120Hz because that's what the panel is capable of. That INFO bar lets you know what the incoming signal is.
Does that help?
This may be a dumb question but I have a 46" LED LCD TV series 6000. It is supposed to be 120 Hz but both the Cable HD box and my Samsung Blue ray player say they are at 1920x1080i @60Hz when the box comes on when you turn them on. Do I have the settings wrong or I am I confused and this is what they are supposed to say? They are connected with HDMI cables. Any help would be appreciated. Thanks