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. O 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. O No. All of the plausible values in the interval are greater than 0.5, which does not provide convincing evidence that a majority of all U.S. adults think that organic produce is better for health than conventionally grown produce. O We are 99% confident that the interval from 0.517 to 0.583 captures p = the true proportion of U.S. adults who would agree with the statement: "Organic produce is better for health than conventionally grown produce." This provides no evidence trat a majority of all U.S. adults think that organic produce is better for health than conventionally grown produce. O Even though the values in this confidence interval are all greater than 0.5, this might not occur again in different samples. There is not enough evidence to make a conclusion regarding the proportion of all U.S. adults think that organic produce is better for health. O We are 99% confident that the interval from 0.517 to 0.583 captures p = the true proportion of U.S. adults who

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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.
O 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.
O No. All of the plausible values in the interval are greater than 0.5, which does not provide convincing evidence
that a majority of all U.S. adults think that organic produce is better for health than conventionally grown produce.
O We are 99% confident that the interval from 0.517 to 0.583 captures p = the true proportion of U.S. adults who
would agree with the statement: "Organic produce is better for health than conventionally grown produce." This
provides no evidencetrat a majority of all U.S. adults think that organic produce is better for health than
conventionally grown produce.
O Even though the values in this confidence interval are all greater than 0.5, this might not occur again in different
samples. There is not enough evidence to make a conclusion regarding the proportion of all U.S. adults think that
organic produce is better for health.
O We are 99% confident that the interval from 0.517 to 0.583 captures p = the true proportion of U.S. adults who
Transcribed Image Text: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. O 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. O No. All of the plausible values in the interval are greater than 0.5, which does not provide convincing evidence that a majority of all U.S. adults think that organic produce is better for health than conventionally grown produce. O We are 99% confident that the interval from 0.517 to 0.583 captures p = the true proportion of U.S. adults who would agree with the statement: "Organic produce is better for health than conventionally grown produce." This provides no evidencetrat a majority of all U.S. adults think that organic produce is better for health than conventionally grown produce. O Even though the values in this confidence interval are all greater than 0.5, this might not occur again in different samples. There is not enough evidence to make a conclusion regarding the proportion of all U.S. adults think that organic produce is better for health. O We are 99% confident that the interval from 0.517 to 0.583 captures p = the true proportion of U.S. adults who
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