Mcwick,
AC current in your wall socket is deadly. Please be careful and talk to experts/electricians if you your experience is low.
if you are safety conscious, then ;
using a capacitor, it's impedance is
Z= 1/(2* Pi* C* 315,000,000), hence trying to get say 10 ohms impedance would make the capacitor value
C= 1/2*6.14*10*315,000,000) = 25 pico farads.
So I would look for a value larger (200 to 500 picofarads), it needs a high voltage rating, 500 volts or the wall socket AC power will damage your electronics when the capacitor fails.
If you don't know much about capacitors, and you just throw any capacitor in your circuit, such as a low voltage electrolytic (which is only used for dc circuits, not wall AC power circuits), it'll blow up on you and probably destroy your transmitter.
With 3 wires in the wall socket, you'd want to connect to two of them, one probably the ground (the middle one on the bottom), and one on the top (those are the more deadly ones). Use a cut extension cord to get into the socket
VE1BLL may be right, but 315 Mhz is 3 foot wavelength and twinlead from TV antennas is essentially two wires. What may help is that in the room where your transmitter is weak, you would take another extension cord, cut it to a length of 10 inches, spread out the ground wire from the other two wires to form a dipole, tape the ends of the wires really well so no one gets electricuted, then place it in the socket to form a 315 Mhz antenna to talk to your sensor antenna.
You could try all of this very safely. I recommend running a long extension chord (just on the floor, not connected to the wall AC power) from your tranmitter to your sensor point. Set the system up essentially without deadly AC outlet voltage to see if it works. Put your transmitter into the extension chord using the capacitors and just some clips to get onto the pins of the extension chord, and make the dipole for the other end of the extension chord.
On that thought, for the real system, you could just use an extension chord from the wall socket, split it, tape it very securly, and wrap it around the antennas on each end - no capacitor needed. Energy from the antennas goes thru house wiring. It sounds safer than using a capacitor.
good luck,
kch