[fr_freak]

They also know the overall population in any given area so they can deduce the number of unvaccinated:

If someone is going to make a bold claim like "unvaccinated 16x more likely to be hospitalized" upon which an entire medical policy is based, then they damn sure should be doing more than "deducing".

However, if we assume that their deductions are correct, and they can have a good idea of how many "unvaccinated" there are, then what they CAN'T know is how many of those "unvaccinated" were infected with COVID with symptoms mild enough to forego even a doctor's visit. Therefore, there any statement regarding the rate of hospitalization is false on its face.

I outlined all of this just to give you an example of how numbers and stats can easily be manipulated to support false statements, and this is only one such example. It should be obvious to anyone that this is the case here, simply by the nature of the data collection.

[semimojo]

..what they CAN'T know is how many of those "unvaccinated" were infected with COVID with symptoms mild enough to forego even a doctor's visit.

So what? They aren't making any claims about those people.

They're analyzing the hospitalized population.

I outlined all of this just to give you an example of how numbers and stats can easily be manipulated to support false statements

Sorry, but I think you failed. This is a simple arithmetic exrcise.