I now want to see if any particular sub-regions are significantly different to the State. Can I use 0.62 as the binomial probability for a car being recovered?

I've calculated the rates per sub-region, then used Excel i.e. BINOMDIST(recovered, stolen, 0.62, TRUE), but it results in around half of them being significant (<0.05 or >0.95). This doesn't seem right...

Appreciate any help with this!