A Daybreak One Poll has revealed that one-third of the population have lost faith in the NHS (35.8%).
The poll comes on the day that the government revealed the "shocking" death divide between north and south.
In the same poll 54.9% of Brits think the NHS has suffered under the coalition government.
20.2% did not think the NHS had suffered under the coalition government and 24.9% did not know.
Read more: New mortality rates shows north-south divide
More top news
Bodies are being buried in backyards and overwhelming morgues as officials try to find another plot of land to lay them to rest.
Authorities have warned that the death toll is likely to rise as much of the building is yet to be searched.
The PM will sound out the possibility of new free trade agreements with Gulf states for once the UK has left the EU.