How can I get my marketing research done for free? I want to be able to do this myself. Are there any websites that I can go to to do Marketing research?

Try Online Surveys - Software to Create and Send | Zoomerang. The basic version is free and as long as you have a list of e-mail addresses to send the survey to, it won't cost you anything. You will have to design, program and analyze the results yourself, but if you know what you want, it is pretty easy to do.

Market Research Portal
Free Case Studies Essays

You can get some free information, free market reports.

You can also make your own online survey and send it to everyone you know for free.

But then, when it comes to really test your target market, you need the data base to do it.
Online market research company can help you with that for a quite little amount of money.

Have a look
Feel free to ask if you need more info about it

Here's some more links to some other sites that may provide some insight as well for your research :)

Marketing Charts
Compete
Forrester (There is a Free Research link located on their site)
The Free Library
eMarketer
Nielsen-Online
Rutgers University Libraries
US Gov Info
AllBusiness