Now take the male plug that matches your female receptacle and connect it to the 20' piece of wire you have left. Hook the mogul base to the other end. Put the bulb in and plug it into the toolbox. Now plug the other plug in the wall. There shall be light.
Hoods come in all shapes and sizes.
I built mine because I had special requirements. When you place a hood on this be sure and have support chains to hold it up. Don't use the electrical cord to hold its weight. Note examples on pictures. The reasons for the remote ballast vary.