Of course it depends on the job. But if you interview well; if you are smart and can persuade me you're a hard worker; if you can write and speak clearly; if you show me that you can do a good job...then it doesn't matter if you "only" have a psychology degree. What the degree means to me more than anything (this is especially true for post-graduate degrees) is that you know how to complete a long and complex task. The specifics don't matter to me as much as the achievement of having completed the degree. I lead a team of smart researchers, and I "only" have a BA in music.