At the risk of sounding flippant: a statistically insignificant outcome can feel pretty damn scary and significant when your result is one of the outlying exceptions to the rule.

Dalglivk did an obs and gynae attachment at St Johns and saw the fallout of enough outcomes, that would have been statistically insignificant for this study, to convince her that hospital was best for her births.

I'm with danieldwilliam: I'd want to be where all the surgeons hang out.