I have looked at the risk of hospital admission in the general population and in those with lung disease when exposed to an environmental toxin. The patients with lung disease are also part of the general population. My results look as follows:
Population percent_increase lcl ucl pvalue All 0.44 0.09 0.80 0.02 Lung disease 1.24 0.31 2.18 0.01
The results shows there is an increased risk in both groups. But the risk in those with lung disease is larger then the general population (about 2.8 times to be more specific).
My question is: if I claim those with lung disease have a 2.8 times more risk than the general population is the conclusion wrong? If I really want such conclusion what should I do in the analysis?