Managed VS natural births

I mentioned a while back that of all the women I know who've had
babies, the only one who didn't receive some kind of medical
intervention at birth was the woman who had the baby at home. Everyone
else was either induced, augmented, c-sectioned, or forcepsed. I
exclude epidurals from the list deliberately (all but the home-birth
friend had them).

I was curious if there are any statistics in the US on exactly how many
natural births occur in hospitals here.

My hospital provides stats on percentage inductions, percentage
c-sections, etc, but doesn't give percentage non-interventions, so I
don't have a realistic idea of how many of their 'patients' get meds to
assist with the birth.