There are usually two battery connections. One from the ignition which is the main supply to the radio and the other is a direct feed to the memory circuit (which retains all the settings when the ignition is switched off).
It will be a matter of finding the relevant tags on the GOODMANs radio.
Check the various wiring diagrams on the site below. Unfortunately it doesn`t show the Goodmans but it might have a similar wiring arrangement to the others.
You will find that a mult-meter or test lamp is perhaps best for testing.
http://www.tehnomagazin.com/Auto-radio-car-connector/PHILIPS-Car-Radio-Wiring-Connector.htm
RegWorts
June 2008