In his headline-grabbing first speech to parliament, Katter's Australian Party senator Fraser Anning railed against Muslim immigration, and claimed Muslims in Australia were "vastly" overrepresented in crime rates.

Independent Senator Fraser Anning argues free welfare and public housing attracts migrants in "search of a free ride at everyone else's expense", claiming that 56 per cent of Australia's working-age Muslims are not in the labour force.

SA-Best Leader Nick Xenophon claims there are fewer young people in South Australia than there were 36 years ago — a statement that goes against the conventional expectation that as population increases, so do the numbers in all age groups.

South Australia's labour movement, SA Unions, claims in Facebook videos that Mr Xenophon, who leads the SA-Best party, voted with Prime Minister Malcolm Turnbull to cut pensions for older South Australians.

Senator for South Australia Cory Bernardi sought to justify his defection from the Liberal Party by claiming the party's support at the last election had dropped by 1 million votes. But is he correct?