Truthfully, I am ambidextrous so both hands get about equal usage, eating, scrubbing, cleaning, television remote, phone button pressing. I usually write with the right, occasionally the left, I usually shake hands with the left, occasionally the right. It is a little hard to be sure though if one is slightly louder since I have to bring both hands to the left since the hearing in the right ear is blurry. They seem equal to me in sound.
On a different matter though, if I shake the hands wildly and let them flap and flounce about, the left is much more limber and swooshes about much more easily than the right. (did I mention that I was double jointed when younger, before age made the body turn rigid?)