After following the helpful links related to this problem, and watching a couple of repair videos from this site, I was able to easily remove the suspect valve and test it. I found that corrosion in my water pipes had caused the cold inlet on the valve to fail. I tested this with and multi-meter as per the videos, and since it was not just clogged but dead, I reordered a new one on Saturday evening. The new valve showed up on my door on Tuesday morning using normal shipping, and it was easily installed that evening! It works great, and was a great deal! Thanks Appliance Parts Pros!