Some homes in Cambs & Peterborough are still without power after Storm Doris hit yesterday.
Half Of Cambridgeshire & Peterborough Back County-Based Devolution
The consultation launched in July, asking people if they backed or opposed the idea of taking money directly from Whitehall.
That cash would be destined for Cambridgeshire anyway, but in the event of devolution it could come straight to the county to be spent how local councils and residents thought fit.
That could mean putting key decisions about transport, housing, jobs and skills in the hands of the people they would affect.
Government has asked areas across the UK to take advantage of new devolution deals, but have stated in order to get the benefits, the Combined Authority must have a directly-elected mayor.
Out of nearly 2,300 residents surveyed, and 1,500 online responses, just over half were in favour of the idea - with 55% saying they would back it.
Among the yesses and don't-knows, 15% said they didn't think it was a good plan, and things should stay as they are.
The idea of a new elected regional mayor was not popular, with 59% dismissing it completely.
Going forward, a report on this consultation will be passed to Sajid Javid, the Secretary of State for Communities.
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