We don't need 330 million test kits. We need enough kits to test a representative sample. This is nothing new. They do it all the time when polling people for various causes. The methods are well known and reasonably accurate. Just don't let the ignorant press misrepresent the findings.
Why it hasn't been done is a mystery to me.
If the press is ignorant, it's because their expertise is journalism/getting interviews etc and not "Everything everybody else knows". The same things you & I are ignorant of and in the same way for the same reasons.
I stated in an earlier post somewhere, if experts/sources are being misquoted or misrepresented by ignorant media I never see them fall all over themselves to correct it. Ergo, maybe they're just cool with it. Meaning 1) Screw the public who cares of they know anything. Not likely. Or 2) The media did not get it wrong or at least they got it sufficiently right. It comports with the intentions of the originator. In fact when they've come out to correct statements it hasn't been media shortcomings that motivated it. That's all I'll say about that.
I know all about how much testing is sufficient and what a representative sample is. (Diversified investments would be an example.) Why haven't we done representative sample testing nationwide all this time...? I don't know. The usual drivers of things: Politics & Money? And they're practically the same thing. I doubt the street level medical operators/practitioners don't care to know these numbers. It's hard to believe they could have been testing all this time but said: Naaaw!" Others perhaps have an incentive to obscure.