Bottom Line: homebirth QUADRUPLED the risk of perinatal death compared to hospital birth and dramatically increased the risk of death at every level, from stillbirth to infant death. Risk of death from hypoxia is a shocking twenty times higher with homebirth.
It is important to remember that these statistics UNDERCOUNT the risk of death because there may have been deaths that occurred in the hospital that actually belong in the homebirth group. The comparison is also between homebirth and all hospital births — including high risk and premature births — so when comparing the low risk homebirth group (they have strict standards for homebirth in Australia) to only low risk births, the difference would be even larger.
For more information and analysis you can read here.