Well, the states are largely controlling their own testing and the US is doing more testing than a lot of if not most places. Trump is a lot of talk but the United States largely runs autonomously through the states and they mostly do what they want/can. If I want a test here in IL I can get one for free and its pretty easy...the antibody tests are different and cost money.I think we can presume that the infection rate is a whole lot higher than the stats would have us believe. Of course there is a push from the top to reduce testing because it makes then stats look bad - possibly the most imbecilic nothing I've heard yet.
Some study, though, revealed, that not everybody infected had antibodies after a few months... though its assumed they'd have immunity like with other similar viruses. So if that's true we may never know the actual infection rate.