Okay, here goes.
There's not much you can really garner from being labeled "right" or "left" brained. Everyone uses both sides of their brain, thanks to the corpus callosum. While it's true that some people are left-handed, people are predominantly right-handed because lateralization is largely consistent in the brain.
Handedness is a function of lateralization of the motor strip, and as such can't be attributed to an entire side of the brain. Neither can anything else, really. Instead, things have specific cortical locations that just aren't set in stone from one person to the next. One can't really be "occipital lobe dominant" either, since it's largely unconsciously involved in visual cognition. The left and right cortices are involved in many different things, and these functions do vary from person to person, but the extent to which they vary is limited by their location. For that reason, while someone may be more aptly wired to perform linguistic or mathematical tasks, there is no reason to suggest that these features are "dominant" in any single person.
That said, there are some interesting phenomena involving lateralization that crop up every now and then. Try asking your math major friend which is his or her dominant hand. There is a striking preponderance of left-handedness among people who are good at math. This is largely due to their reinforcement and plasticity of their contralateral (opposite hemisphere).
Similarly, find out what your dominant eye happens to be. People who are right-eye dominant can read just as efficiently out of the right field of vision as out of the left. But left-eye dominant people can read slightly faster out of their left field of vision. Another lateralization doohickey.
Overall, though, I wouldn't put much credence into this test. Anyone would be hard pressed to find out what their dominant hemisphere happens to be, simply because we use so much of both. It's much more likely that plasticity in specific cortical regions becomes dominant at a nonhemispheric level. Also, it would be hard to determine even that with questions like "Are you often late to appointments?"
