REYKJAVIK, Aug 30 (Reuters) - Icelanders voted to stay out of the European Union, referendum results showed on Sunday, as they rejected a government push to reopen membership talks and sided with those who said Iceland's fishing waters were too important to risk. The Arctic island of 400,000 people has debated whether to join the EU for well over a decade and had initially been expected to narrowly back holding membership talks, but opinion polls this month showed views had changed.