Most people backed the Assembly retaining the powers it has in six key areas: tourism, agriculture, housing, roads, education and health. But a significant minority want to see responsibility for health and education returned to London.
20% said education should be the responsibility of the UK Parliament and Government and 27% said the NHS should be administered from London. The survey points out that these are two areas which received most media coverage.
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A survey for the Welsh Government shows that people living in Blaenau Gwent are the least satisfied with their area as a place to live.
The rainy and unsettled conditions mean pollen levels will be low today but will go up to moderate for Thursday and Friday.
The more persistent rain will gradually move northwestwards leaving some southern parts dry later.