Interesting. How do you know those in the media see and read your Tweets?
Also, if you follow certain media you will see them reply to people, even if they don't respond to your tweet. Obviously they are reading tweets, even if you don't get a reply. Granted some have assistants who monitor the Twitter accounts, but lots of them are a least spending some time actively managing their own Twitter accounts.
The more tweets and retweets you have, the great the chance your tweets will be seen by the media.
That’s how it works if they are monitoring the hash tag you use, such as #withNewt, they will see your tweet. You can post negative stuff about Romney and Obama and tag it with their hash tag.
https://mobile.twitter.com/searches?q=%23withNewt
You can search twitter by hash tag without having an account.