"So it appears that there is no statistically significant link...

"So it appears that there is no statistically significant link between immigration and incarceration (and hence crime?). Priceless."

No RichardNixon, it is the rate of imprisonment by country of birth which is meaningful in this context, not overall percentages in prison by country of birth.

Take a look at the chart at the link and then also consider that many of those Australian born will be Koorie or first generation.