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As for why people chose to get tested, the reasons may vary: some employers may have mandated it (even without government mandates), and others simply succumbed to the fear porn from the corporate media.

What we do have are numbers of tests administered, and the positivity rates (although without the Ct values for PCR tests).

As it turns out, Austria not only has the highest number of COVID cases relative to population size....

https://ourworldindata.org/explorers/coronavirus-data-explorer?zoomToSelection=true&facet=none&pickerSort=desc&pickerMetric=new_cases_per_million&Metric=Confirmed+cases&Interval=Cumulative&Relative+to+Population=true&Color+by+test+positivity=false&country=USA~DEU~FRA~AUT

...by a couple orders of magnitude it also has the highest test rate (tests per 1,000 people)

https://ourworldindata.org/explorers/coronavirus-data-explorer?zoomToSelection=true&facet=none&pickerSort=desc&pickerMetric=new_cases_per_million&Metric=Tests&Interval=Cumulative&Relative+to+Population=true&Color+by+test+positivity=false&country=USA~DEU~FRA~AUT

As a result of this emphasis within Austria on testing, Austria also has the highest number of tests per diagnosed case of COVID.

https://ourworldindata.org/explorers/coronavirus-data-explorer?zoomToSelection=true&facet=none&pickerSort=desc&pickerMetric=new_cases_per_million&Metric=Tests+per+case&Interval=Cumulative&Relative+to+Population=true&Color+by+test+positivity=false&country=USA~DEU~FRA~AUT

Which, ironically, gives Austria a relatively low proportion of daily tests that are positive.

https://ourworldindata.org/explorers/coronavirus-data-explorer?zoomToSelection=true&facet=none&pickerSort=desc&pickerMetric=new_cases_per_million&Metric=Share+of+positive+tests&Interval=Cumulative&Relative+to+Population=true&Color+by+test+positivity=false&country=USA~DEU~FRA~AUT

Thus one reason Austria reports so many cases is they were hell-bent on looking for the virus.

At this level of testing, while it is possible some cases might have been overlooked, false positives seems a more likely outcome. That would make Austria's 64% infected figure an overstatement--which makes China's 80% even more fantastical.

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