connect to ballast housing. (other end of green wire is in plug that goes into wall outlet - if you are 110v )
That works for the ground, but your power leads need some work. Those screws on the right and left sides are going to be energized when the lamp is turned on - bad deal to leave them exposed. Is this going into a hood or are you planning on bare bulb?
like a fire waiting to happen ! Get a qualified electrician to wire that up. At the very least id swap them bullet connectors for a junction box.
I did it the cheap way. Get a metal work box and an appropriate face plate (they make 'em with a hole that's the perfect size for a mogul socket), and some type of strain relief. I just got those clamps that screw into the pop-out holes in the work socket and squeeze down on the cord.
You can kinda see it here:
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