.

Furthermore, how do I remove a wall socket?

Removal. Once the socket is no longer live, remove the socket cover plate (usually held in place with a flat-head, counter-sunk screw). This exposes the socket and electrical box. Just to be extra safe, touch the tester one more time to the connections at the side of the socket where the wires plug in.

Secondly, how do you fix a dead outlet?

1. Step 1: Make sure the problem isn't with the appliance.
2. Step 2: Check for a switch to the outlet.
3. Step 3: Look for a tripped GFCI breaker.
4. Step 4: Check the breaker panel.
5. Step 5: Tighten the outlet electrical connections.
6. Step 7: Call an electrician.

Also question is, can you change outlet without turning off power?

No need to touch the bare wire when changing an outlet, unless it is packed tight in the box or ridiculously short wires (which you about have to kill the power to deal with then). I'd hate to guess how many outlets I've changed over the past 28+ years as an Electrician without turning off the power to the outlet.

What to do if there is no ground wire?

If the box is not grounded, you have two choices:

1. Run a ground to the box. This would mean running a new wire back to the panel (could be bare copper, but if you're doing the work may be better just to run a new wire - 14/3 would be the best), which could mean opening up drywall.
2. Wire the fan without ground.