I use Aperture priority 90% of the time - maybe more. With matrix metering it is remarkably accurate. I do use exposure compensation on 50-60% of my images, but it is usually just a fraction of a stop. The most common reason for exposure compensation is to prevent blown highlights.
I use Shutter Priority for a very small percentage of images. Typically it is used for Bulb images where I cannot use Aperture priority.
I use Manual more than you would think - about 8-10% of my images. There are two scenarios. If the lighting on the subject varies and I want a constant shutter speed and DOF, I use auto ISO to balance the exposure. This is perfect when the subject moves in and out of shadows.
The second scenario for Manual is when the light on the subject is constant but the background changes. This throws off matrix metering or even center weighted metering. Rather than fight it, I just meter the subject and check the histogram. As long as the lighting does not change, the background has no impact on the exposure. This is very common for birds in flight - in fact I use this setup for 700 frames yesterday with backgrounds that varied from light sand to surf and waves, and to dark blue water.
I need to add that I have about 20 images a month with a random setting. Mode control wheel on the D7000 moves too freely and allows the mode to change. That is driving me crazy since it is not something you notice when actively shooting. I've got 100,0000 images with other cameras and have never had that issue. It's a frequent issue with the D7000.