Okay, that was done in 1974. Not to mention the countless broadcasts that have been coming from Earth since the radio was invented.
http://en.wikipedia.org/wiki/Arecibo_message
Uh oh! You just outlines an unfalsifiable experiment! That sets off my troll detector!
You cannot point to a preponderance of non-evidence in lieu of actual evidence. Pick one, let's discuss it. If there's a hole in it, throw it out and pick another. But don't keep appealing to the large number of reports. That type of proof doesn't work for proving that gods exist, or that vampires exist, or that faeries exist, or that Atlantis exists, or that Nibiru exists, or that Nemesis exists, or that XXXXX exists, or that YYYYY exists!
Reports of California Condor sightings number much fewer than UFO reports annually, and yet we have much better photographic evidence of them.