The bill, signed into law in 2010, could be upheld, struck down or modified by the country's high court.
A business advocacy group, Small Business Majority, said a recent poll of 800 business owners in Florida, Illinois, Louisiana, Michigan, Missouri, New York, Texas and Virginia showed strong support for the law.
Fifty-percent of the respondents indicated they would like the Supreme Court to leave the bill, known in some circles as Obamacare, mostly upheld. Concurrently, a third of the respondents indicated they would like the court to cancel the healthcare program that many Republicans deem too costly.
By an 8-to-1 majority, respondents indicated they would use their state's online insurance exchange program, while a 2-to-1 majority indicated they would like their state to set up an insurance exchange program.
The insurance exchange program is one that allows owners of independent businesses to join a larger risk pool.
Small Business Majority said 49 percent of entrepreneurs indicated their interest in buying insurance through the Affordable Care Act would increase when a tax credit for small businesses offering insurance becomes available to small business participants.
Small Business Majority said the survey was conducted by Greenberg Quinlan Rosner Research. The results have a margin of error of 3.5 percentage points.
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