The poll found that New Yorkers are opposed to the proposed ban 51 to 46 percent.
WCBS 880's Rich Lamb reports
"They doubt that this will be an effective way of cutting down obesity, 56 to 39 tell Quinnipiac, no they don't think so," said polling director Maurice Carroll.
It also found that voters were evenly split when asked if they believe Bloomberg is running a "nanny government."
The proposal would put a 16-ounce limit of sugary drinks sold at city restaurants, movie theaters, sports venues and street carts and would apply to both bottled and fountain drinks.
It would not include grocery or convenience stores that don't serve prepared food and wouldn't apply to diet soda, other calorie-free drinks or anything that has at least 50 percent milk or milk substitute.
The Board of Health received the proposal Tuesday. Public hearings are the next step.
The telephone poll of 1,093 New York City voters was conducted from June 6 to 11. The margin of error is plus or minus 3 percentage points.
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