Solder the other 1' wire onto the positive terminal of an LED that was inserted into the toy bubble.
Solder the other 3" piece onto the same positive terminal.
Solder the other end of the 3" piece onto the positive terminal of another LED in a different toy bubble.
Hook the 9V battery on to the positive and negative 1' wires to see if the circuitry works. If not, make sure you are inserting the wire connected to the LEDs into the correct battery terminals. If it still doesn't work, check over these steps to see if you have done something wrong.
Make the lamp stand by drilling a hole into a block of wood and inserting a sturdy one-foot pole into it, then hot-gluing it into place.
Hot-glue the hardened casein onto the lamp stand, but make sure that a 9V battery can fit from end to end between the 2 pieces.
Hot-glue the 2 LED toy bubbles close to the top of the one-foot pole, making sure the one-foot wires are able to touch the bottom of the lamp stand (you may want to decorate them as jellyfish first, though).
Cut off 3" of uninsulated copper wire and mash it into an "under-over" pattern so it's about the size of a fingernail.
Cut a slit into the popsicle stick piece with one hole. Also, hot-glue the mashed up copper wire into the slit.
Hot glue gun the popsicle stick pieces to the lamp stand base so that the mashed up copper wire is able to touch the end of the wire piece and the uninsulated copper wire in the casein at the same time.
Connect the uninsulated copper wire pieces in the casein to the correct terminals on the 9V battery.
Flip the make-shift popsicle switch system on (to do that, make the mashed up copper wire pieces touch the end of the 1' wire and the uninsulated copper wire in the casein).