As I said originally, the complete dataset can be found at CDC Wonder http://wonder.cdc.gov/lbd.html. The dataset can be queried to find out the neonatal death rate for white women, 37+ weeks, 2500+ gm, with singletons who delivered in the hospital in 2000, which was 0.9/1000. Johnson and Daviss have already publicly acknowledged this on their website Understanding Birth Better.

If you prefer, we can remove lethal congenital anomalies. There were 1863 deaths, of which 1001 were due to lethal congenital anomalies. That means that the neonatal death rate for hospital birth in 2000  (white women 37+ weeks, 2500+ gm singletons) was 0.34/1000.