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Nope. Demonstrably and statistically false.
https://www.propublica.org/article/state-coronavirus-data-do......


Excellent homework syzygy, glad to see you are putting in the hours
From these excellent graphs we see that the number of tests really is not a direct influence on the positivity rate, but the rate itself mirrors the disease ebb and flow

In New York Indiana and Illinois the positivist rate is going down as you would expect in States that had a bad first wave and not seem to have some control. Whereas in Arizona Texas and Florida the positivity rate is going up regardless of the number of test (Note is Florida is actually doing less testing)

That great little graph at the end of the paper shows a great trend of positivist for the country with the numbers falling below 4%. Base on this several governors decided to go full gung ho with reopening and now we have
https://coronavirus.jhu.edu/testing/individual-states
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