Most simple is to use a single chip coder/decoder to translate binary data to tones. These tones can then modulate a FM transmitter as any audio signal.
At receiver end are the tones translated back to binary data. Conversion between binary data and tones can be done in many ways, DTMF protocol is among the most simple. Search for Mitel MT8889C circuits and you can find a lot of plans.
A bit more mobile solution, with no need to build any logic decoding, TX/RX or antennas, is to hack a non programmable wireless controlled electrical remote and corresponding switch for power outlets. It is probably the most cheap alternative. With some luck do the remote contain an IC with 8-12 addressable pins. A few pins are connected to the push buttons and remaining pins are used to address correct receiver. Connect a few of the address lines to the MCU and read data at corresponding pins in the receiver. You must arrange with a separate power supply for the receiver as it else is directly connected to mains voltage.