Cut off the electric power to a set of electric wall plugs. Choose an older part of the house if there are new additions or remodeled areas.
Test the plugs to make sure they are dead with the circuit tester following manufacturer's instructions.
Unscrew the socket cover plate and remove it. Shine a flashlight into the metal box into which the socket is screwed. You should be able to see the wire where it attaches to the socket and the insulation where it's been pulled back. You may see paper insulation around the ends. If you do, you have paper insulation in the cable.
Look for plastic insulation around the individual wires. If you can't see them, unscrew the top and bottom screws holding the electric socket in the box and lift out the socket. The wires will come out as well.
Carefully cut back the insulation around the electric cable and peel it back to reveal the insulation inside. Older wiring may have paper wrapped around bare copper wire or, worse, aluminum wire. Older wires often have a fabric-type outer covering over the wire. The wiring may be safe for the moment but probably should be replaced if it's obviously old. Older wiring may not be adequate to handle modern electronic devices, electric heaters or other high-drain devices. Frayed wiring should always be replaced.
Check for specification markings on the cable itself. Many modern home wiring cable types have a paper-insulating barrier between two plastic-insulated wires that is perfectly safe. Call an electrical supply house if you're concerned, give them the specifications off the cable, and ask them if it's safe.
Call an electrician if you are still concerned or identify unsafe wiring to have them come inspect it. Screw the outlet and cover plate back into place before turning the power back on.