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)
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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