I voted no because I like our system here. We have a government health system and a private health system. The government system has pretty bad waiting lists, but the private system removes some of the people who would be otherwise on the waiting list, thus shortening it. I don't have private health insurance, but I will be getting it within the next twelve months.
Yet another no, and for the same basic reasons Smid outlined.
We get to make a choice - and if you're not privately insured, you can still be treated as a publicly covered patient at a private hospital in an emergency, and the public system works really well for non-electives. The waiting lists are horrific for elective surgery and dental, but for emergency care, the public system is absolutely amazing. My mum worked for decades at the Epworth hospital - easily the best Private hospital in Melbourne - and currently works in healthcare infrastructure and operation planning, and I've heard a bit of talk about the shortfalls and successes of the system here. The best success has been that all emergency departments are run regardless of whether they're public or private - if you live in Richmond, you go to Epworth, whether you're privately covered or not; if you have angina you head to the Austin, one of the world's leading cardio hospitals, and public, whether you're privately covered or not.
Plus we have the life-saving Pharmaceutical Benefits Scheme.
EDIT: And also note that Australia is one of the world's best producers of new medicines per capita, despite the evil socialism
Poll
