We live on a planet within a solar system that is within a galaxy (The Milky Way) that is within our universe. Our galaxy is not even large compared to the average of what we have found yet contains an estimated 100-400 billion stars. For example our galaxy is ~100,000 light years in diameter. The Andromeda galaxy, our closest neighbor, is ~220,000 light years in diameter.
The exact numbers are just impossible to know due to the speed of light. The light of a star across from us in our galaxy could take close to 100,000 years to reach us. Shoot, it takes ~8 minutes for the light from our own sun to reach us and ~4 years for the light from the closest star to us to reach us. This means that some no longer exist and we don't know as the light increase from them going nova has not yet reached us. Also there are stars that have formed whose light has yet to reach us. Now consider that, in 20020, it was estimated that there were 2 trillion galaxies in our "observable universe"; We have yet to develop the ability to see the entire universe.
Now let's take the mid point of how many stars there are in our galaxy and call it 250 billion stars and we'll be generous and call our galaxy average. Now take that 250 billion stars times the estimate of 2 trillion galaxies in the part of the universe that we can see and the fact that we have discovered planets orbiting some stars in our own galaxy. This would indicate that there are likely many billions of stars that have planets just in our galaxy.
That all boils down to a whole bunch of planets out there! Our radio broadcasts have only reach a handful of stars so there has not been anywhere near enough of a sample to even come close to saying there is no life elsewhere. Now consider the thought that there is intelligent life on a planet orbiting a star our radio broadcasts have reached. There is no logical reason to assume that they even use or would detect our radio signals. Even if our broadcasts were detected it is most probably that they would not recognize our broadcast as an intelligent act as our forms of intelligence would most probably be totall alien to each other due to differences in evolution.
Now consider our deepest probe, Voyager 2 launched in 1977 is still within our solar system and will never leave before totally non functional.
Like Jodie Foster said in the movie Contact... "If there is no life out there it's an awful waste of space."..
That's a paraphrase as I can't, for fact, remember the exact quote.