Re: "Statistically, it is insignificant, given the population size..."
>Please show your workings and assumptions.
Read practically any manual about opinion polling, which the referendum was, and you will find that the result falls in the "noise and polling inaccuracy" category.
However, that doesn't mean that the result should simply be disregarded, as it may be indicating some underlying factors. The problem is that the government (and others) decided to simply take the headline result and not do any further investigation.