I've seen a report that suggests that overcrowding occurs in less than 3% of properties, but nothing else corroborative. I'd be very interested to see what the stats are on whether people are unable to get a place to live at all.

It strikes me that when the media reports on the housing shortage and housing crisis, they mean a shortage of housing stock for purchase by folk who want to live in a particular area, rather than an inability to find somewhere to live.