Imagine how much better it'll be when those vaccinated people aren't wondering around interacting with all those infected people.In Michigan 246 positives out of 2.0M people fully vaccinated. 0.01% of the people vaccinated tested positive. Of the 8M people in Michigan who were not fully vaccinated 209,594 tested positive since 1/1 or 2.61% of the unvaccinated group. Since the “virtual placebo group“ of unvaccinated people is 4X as large it would be the equipment of 52,400 infections in the placebo group adjusted for size. So 246 vs 52,400. That’s a very high 90s efficacy for the vaccine. I know the math isn’t exact because not all 2M people were vaccinated for the full 3 months but you get the idea.
On deaths 3 people out of the 2M who were vaccinated died. If we extrapolate that death rate out to the full US population and pretend everyone was fully vaccinated it would be around 500 deaths over the 3 months. Back in the real world where the whole population wasn’t fully vaccinated 201,421 Americans died in the same 3 months. This really shows how effective the vaccines have been in real world practice. As each state releases data we keep getting more support for how remarkable and how effective these vaccines are.
If I followed your math, 209,594 positive cases over 10M people, 2% of them positive. Drive that vaccine number up, which will drive that infected and infectible count down. Reduce the chance that anyone vaccinated will ever run into an infected person, much less multiple infected people. The few that still do will vastly limit spread and that number of positive anyway will get even lower.