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A 2016 survey of 1480 randomly selected U.S. adults found that 55% of respondents agreed with the following statement: "Organic produce is better for health than conventionally grown produce." The 99% confidence interval for the true proportion of U.S. adults who would agree with the statement: "Organic produce is better for health than conventionally grown produce" is (0.517, 0.583). Does the 99% confidence interval provide convincing evidence that a majority of all U.S. adults think that organic produce is better for health? Explain your answer. Yes. All of the plausible values in the interval are greater than 0.5, which provides convincing evidence that a majority of all U.S. adults think that organic produce is better for health than conventionally grown produce.

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Answer:

Yes. All of the plausible values in the interval are greater than 0.5, which provides convincing evidence that a majority of all U.S. adults think that organic produce is better for health than conventionally grown produce.

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