The light doesn't work and we want to check the bulb but can't figure out how

That is not possible, if it shows power then there is no reason for it not to light, check the bulb with a meter, could be bad, then check ground

What about the front right turn signal, does it work when the rear doesn't? My guess is, it doesn't work either? The lower brake lites and turn signals may use the same bulb filament, but, not at the same time and are wired through the turn signal switch. Have you tried a new bulb, Is the bulb socket ok? You may need to check turn signal switch and wiring. If there is an air-bag in your steering wheel, you need to be careful, you don't want it to blow up in your face. Safety is your responsibility.

I haven't worked on an escape, but i can tell you that switch is on the transmission.

You may have blown a fuse, check fuses first then before you try to replace the bulb again check for broken wires or the correct bulb

Try checking the fusebox under the engine compartment. You should find fuses for both lights in there. also check your light relays also in the same compartment. You might have a bad relay.

Thanks for choosing FixYa and welcome. These new lights have two types lin one bulb, one for the low beam and one for the high beam. Find the bulb that isn't lighting for the low beam and replace it with a new bulb. If it doesn't work, you need to check the wiring to that specific light. Since it is only one, the new bulb should work.

Connect a Test Light between the ground wire on the light socket (bulb holder) and somewhere on the body (a clean/bare metal surface) and then put the transmission in reverse.
If the Test Light lights up, you have a bad ground (broken wire, bad/corroded connection). If it doesn't then use a Multimeter to check for power on the Positive side of the Socket, No or Low voltage means a bad wire. Battery voltage is generally 12.45 (without the engine running) and 14.5 (with the engine running) So if you're getting less than that (by more than .3) you have a poor connection or damaged wire

Try the bulb itself. You can check it with a voltmeter set to continuity. Check the harness for a poor ground connection near the bulb socket. It will be a black wire under a screw head on the chassis. If nothing out of the ordinary is found, replace the headlight relay for that side. Each headlight has its own relay.

change the flasher unit, located behind the fuse panel on the drivers side foot kick panel , then check the bulb of the bad light, with a Meter,, you could have a bulb filament flopping around and it looks to be good , also check that the base of the bulb is clean and has good grounding

IF YOU ARE USING RIGHT BULB AND REPLACED BULB SOCKET.YOU HAVE BROKE WIRE OPEN WIRE SOMEWHERE BEFORE OR NEAR LIGHT BULB SOCKET.