yoyohoney12345
In this answer, do we assume that no one with sinusitis dies? I'm not able to prove it mathematically.
We don't need to worry about that because "the incidence rate for sinusitis is the same for people of all ages". So what percent of 15-year-olds have sinusitis? X%. What percent of 62-year-olds have sinusitis? X% again! What percent of 95-year-olds? (You get the idea.)
Let's say that x = 5 (i.e. x% of people of any age have sinusitis). That number only applies to people who are alive. So if we have 100 95-year-olds, we expect 5 of them to have sinusitis. Maybe sinusitis is particularly fatal for 95-year-olds, but that doesn't matter here. For every 100 95-year-olds who are still alive, 5 of them should have sinusitis.
In other words, a particularly high fatality rate for 95-year-olds would just mean that the percentage for 95-year-olds would be much HIGHER than x% if sinusitis were NOT so fatal. Regardless of whether the fatality rate is high or low, we
end up with x% at any age.
The data is what it is, and the passage isn't concerned with how we arrived at x% for each age.
Is it POSSIBLE that an average increase in the population age will somehow cause a DECREASE in the percentage of older people who have sinusitis? Sure, but based on the information in the passage, that's not what we expect to happen.
I hope that helps!