The map at the link below shows that it is the least occupied areas of the United State that are in the least danger of suffering a serious earthquake.
Seismic Building Zone Map of the United States:
"For the most current and accurate information consult your local building department. As a general rule -- newer construction is more likely it is to withstand an earthquake. The reason for this is that building codes have become stricter as time has past. We now have a better idea of what works."