You almost did it correctly. First, you have to connect the green wire! That is grounding and it's there to take charge away if your device is faulty and in turn it trips the fuse instead of shocking you. And it's required by code if the device has any conducting surfaces (e.g. not plastic).

Second, that little semi-transparent plastic tab is there to hold the outer insulation of the cable. So for better safety and robust build you have to cut your wires shorter in a way that the outer insulation is inside the housing and that tab can hold it tightly.