I worked at a hospital years ago and during the orientation session we had a speaker tell the audience that 1/8 pepe who go into the hospital will acquire an infection from the hospital.
I suspect that the true figure for hospital acquired infections is far higher than 1 in 8, but that they are only recorded if the infection is serious enough to cause immediate medical treatment to be necessary.
When I was in hospital a few years ago, they swabbed on every admission to test for it so it's definitely a concern.
https://www.gov.uk/government/statistics/mrsa-bacteraemia-mo...