There are three ways to connect your A500 to the TV:
1. use a standard chinch cable to connect the composite video out of the Amiga to the composite video in of the TV as described above. This will give a grey picture. Not wrong colors but no colors at all. With this method you get the best picture on the TV. Pin sharp but grey.
2. use the Amiga monitor cable to connect the Amiga to the Scart input of your TV. For this to work the TV must be able to utilize the RGB lines of the Scart plug. Most modern TVs can do that. They usualy say something like "can also be used as a monitor" in their advertisings.
3. Connect the Amiga monitor output to the compsite video input of the TV or even to the HF input of the TV. For this you need a converter, a so called TV modulator (for example the A520). With this modulator you get a colorful (but somewhat blurred) picture on every TV.
Bye,
Thomas