The poll was conducted on 1,318 people throughout the country between March 12 and 15.
In the opinion survey, people were asked to comment on what the prime minister should do to solve the many problems she is facing.
On the People's Democratic Reform Committee (PDRC) protests led by Suthep Thaugsuban, 40.99% of the respondents said she must be responsible for what has happened, 35.44% said she should heed the people's demands while 23.57% expressed sympathy for the prime minister.
On the rice-pledging scheme, 38.12% of the respondents said it was clearly marred by corruption and might affect Ms Yingluck's prime ministership, 33.15% said it had affected the PM's popularity since farmers constitute a sizeable portion of the people and 28.73% said the prime minister and the commerce minister should explain what has happened and show responsibility.
On the 2-trillion-baht borrowing bill which has been killed after the Constitution Court ruled it was unconstitutional, 50.20% said it had affected the government's stability, 26.46% said it had caused foreigners to withdraw their investments and 23.34% said it showed the government was unable to fulfil its highly-campaigned policy.
On the Supreme Court's order for the government to reinstate Thawil Pliensri as National Security Council (NSC) secretary-general, 55.93% thought it was the consequence of the government's abuse of power, 25.43% said it had put the prime minister under heavy scrutiny and 18.64% said it had ruined the prime minister's credibility.
On the problems of the Feb 2 election, 52.60% thought the government had incorrectly assessed the situation, 26.30% said it would affect the government's stability and the prime minister's post and 21.10% believed that if a new election is called the prime minister might not get as high a popular vote as before.
Asked what they wanted to tell the prime minister to do in the middle of the "political storm", 53.90% wanted her to show responsibility as the country's leader, 25.65% wanted her to solve the problems as quickly as possible as they had affected her credibility and image, 11.36% asked her not to interfere in the consideration of various cases against her, and 9.09% asked her to continue to work for the interests of the majority.