So, help me here. If 7000 hospitalized are over 65 and 11,000 are under 65, does that not show that there are 4000 less elderly hospitalized than middle-aged?

So, help me here. If 7000 hospitalized are over 65 and 11,000 are under 65, does that not show that there are 4000 less elderly hospitalized than middle-aged? If I look at those numbers, the elderly are not "dominating" the hospitals. In fact, that would show that if you looked in a hospital at any given time, there would be more middle-aged than elderly. I get that "per-capita" the rate is higher, but that does not matter to the hospital census. What am I missing?