In fact, for several years now I've avoided shopping at Targets and Wal*Marts (and similar stores) as much as possible, knowing that the reason those products there are so cheap is that a worker somewhere in the world was paid almost nothing so that the business they work for can bring in more of a profit while selling discounted items.
I've gone out of my way to try to buy fair trade items when possible. A decent amount of my jewelry, bags, and shirts came from online stores sponsored by groups that put a decent wage in their worker's pockets (pants, I admit, are a little harder to buy).
Sadly, most people seem to make excuses about why they can't or won't buy more fair trade items - they're expensive, it doesn't make that much of a difference, even that the ethically made items aren't stylish. (Wow.)
Relevant Magazine, however, has a post busting all those myths - go read it now. Price? It's not that big a difference. A difference? If more people bought fair trade, it would. Not stylish? Now this is just silly. There are plenty of stylish items available. There are other myths addressed in that link, too.
By the way, a few of the comments are nice and insightful as well. I'd like to add my own comment to this as well - the items that I bought that are fair trade? They have lasted far, far longer than the items I purchased for cheap. They are truly of better quality - you get what you pay for, after all. And, as cliche as it sounds, it is better to give than it is to receive - and it's better to know your product helped, say, a single mother living after a war and trying to send her children to school while paying for HIV medication. I know the money I spent on two of my bags went to a woman like that.
It makes me wonder why I'd ever buy anything other than fair trade.