A General Social Survey was given in 2018 and had 2193 respondents. For the question regarding opinions on the death penalty, 1385 chose "in favor" and 808 chose "opposed." Give a 99% confidence interval for the proportion of American adults who oppose the death penalty.
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A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the results below, where X refers to the number of the respondents who were in favor. Construct the 95% confidence interval for the proportion of the adults who were opposed to the death penalty from the confidence interval stated below for the proportion in favor. X: 1772 N: 2633 Sample p: 0.673 95.0% CI: (0.655, 0.691) The 95% confidence interval for those opposed is ( , ). (Round to three decimal places as needed.)
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Statistics in the Media In May $2002,71 \%$ (0.71) of Americans favored the death penalty for a person convicted of murder. In May 2005,1005 adult Americans were asked by the Gallup Organization, "Are you in favor of the death penalty for a person convicted of murder?" Of the 1005 adults surveyed, 744 responded yes. The headline in the article reporting the survey results stated, "Americans' Views of Death Penalty More Positive This Year." Use a test of significance to support or refute this headline.
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In one recent poll, 2100 randomly selected adults in the United States were asked whether they are in favor of the death penalty for a person convicted of murder. Of the 2100 adults surveyed, 1701 of them said that they would be in favor of the death penalty. (a) Construct a 90% confidence interval for the proportion of all adults in the United States who are in favor of the death penalty. (Be specific about which formula you would use) (b) Interpret this confidence interval in simple language.
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