Studies on the Safety of Midwifery Care
http://www.cfmidwifery.org/pdf/CPM2000.pdf published in the
British Medical Journal showing birth outcomes from over 5,000 women cared for by CPMs
Infant Mortality Statistics 1.7 / 1,000 births for low risk pregnancies
http://www.cfmidwifery.org/pdf/MANAHBData04-09FactSheet.pdf published in the
Journal of Midwifery and Women's Health showing birth outcomes from over 17,000 births attended by CPMs
Infant Mortality Statistics 1.61 / 1,000 births for low risk pregnancies
CDC Statistics on Neonatal Mortalities: http://www.cdc.gov/nchs/data/databriefs/db120.htm
What neonatal mortality statistics do not show is the increased risk to the mother's health and the increased risks to her baby of cesarean section. We know that maternal mortality rate is increasing in the US (60th in the world) and is a direct result of our sky high Cesarean section rate. It has, also, been shown that babies born from uncomplicated cesareans have a much higher incidence of Neonatal Intensive Care admission for Respiratory Distress.
Cesarean rates are generally around 33%.
You may, also, be interested in the UK guidelines where governmental guidelines actually encourage out of hospital midwifery led care as safer for low risk mothers and babies: