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OK, you fairly proved your point. The Australian dollar is worth less than the US dollar. In absoute terms, you are correct.
But in terms of the standard of living of those who choose to work, particularlly at the lower income levels, they can afford to purchase much more per hour of labor than we can in the US - I suspect that is what JP was getting at.
So the working poor in Australia are significantly better off than the working poor in the USA - the minimum wage worker in Australia can afford to purchase 10 snickers bars for every hour worked, but the US minimum wage worker can only afford 6 (based on the numbers that you provided). Now lets look to see if the relatively higher minimum wage is harming unemployment in Austalia (the conservative theory would be that that unemployment must be higher in Australia due to the higher minimum wage), nope, just looked it up, unemployment in Australia has not exceeded 5.4% in the past few years, yet it has averaged around 9% in the USA. I guess thats another right wing myth busted.
But high taxes lead to a bad economy right? So maybe Australias extremely low tax rates are compensating for their high minimum wage. Nope, just looked that up also, taxes as a percent of GDP are actually about 10% higher than in the US. Wow, it appears that a comparison of the economy in Australia to the economy in the US blows away almost all conservative economic talking points.
In terms of candy bars and burgers, yeah..the working poor can afford more. But in terms of housing and other necessities they're no better off than Americans. Housing is almost 60% more expensive in Australia than in the US. So that 54ish% difference in total income isn't as nifty as it seems.