"Expect?" No.
But:
- Write a press release with a sufficiently "useful" headline. Ideally add some research with a conclusion that supports the headline, too, but that's really optional. Write well, and offer lots of both clever "sound bytes" and entire copy-pasteable paragraphs. Journalists are busy and/or lazy.
- "Useful" means that it fits a narrative being advanced by the part of the press you're interested in. However important your story is, without that hook it goes nowhere. With the right hook, a story about goats in Siberia can end up on the front page. These days, a novel edge on the ways that tax cuts shockingly benefits people who pay a lot of tax ("the rich") more than people who pay less or no tax ("the poor") is a shoe-in.
- You'll need some sort of credential, but not much. By the time anyone figures out your PhD is in marine biology and not economics or tax policy or Siberian goats, or the think tank or NGO you're chief researcher of operates out of your kitchen, the world will have moved on.
- Finally, you need a bit of luck, ingenuity and cheekiness getting the release in front of a journalist. Most of them are on Twitter and Facebook, and that seems to be where they do most of their research anyway, so that's a good start. You're going to want to offer them an exclusive.
Incidentally, this is basically how all of these "think tanks" operate, except with a few established press contacts and a sort of short-circuited credentials loop.
Furthermore they get less and less time because they do more and more lobbying.
http://www.altinget.dk/civilsamfund/artikel/taenketanke-faar...
I couldn't put out press release on my amateur research and expect to get articles printed in several national papers, simply because they wouldn't take me seriously.