If your new TV has a component video input (3 RCA jacks usually red, green, blue) and audio input (2 RCA usually red and white) then check the TV manual. You can often connect the yellow video output to one of these video jacks and the audio ones to the red and white audio.
The TV menu will have a place for you to change the input to composite video.
If you don't do this you will get a black and white picture.