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The paper placed in the box is indeed incorrect. Since the CoAx can not transmit the HD signal to the TV it would not serve your needs to have a CoAx “out to TV” outlet on that box.
Connect the box to your TV using “Component” cabling (the 5 little RCA jacks, blue, green, orange, red and white)
HDMI (the square USB looking one, if Samsung or Sony Bravia TV “Component” might be better)
Either of these cable choices will deliver 1080 HD video to your TV.
If the TV is an older one and can not accept these 2 types of input, use “Composite” cabling to connect the box to the TV (3 RCA jacks, yellow, white, and red)
In both methods of RCA jack use, Component and Composite the red and white are for audio.