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A survey asked whether respondents favored or opposed the death penalty for people convicted of murder....

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- 1767

n- 2617

sample p- .6752

95.0% CI- (.657, .693)

Math   Statistics-And-Probability   
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Answer #1

Define , Y : Number of people who opposed the death penalty for people convicted of murder .

Now , let be the proportion of people who opposed the death penalty for people convicted of murder

The 95 % confidence iunterval for the population proportion of people who opposed death penalty for those convicted of murder is given by :

where ,

Required confidence interval is given by :

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