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8. Sampling Distributions & Confidence Intervals: Proportion

8. Sampling Distributions & Confidence Intervals: Proportion / Confidence Intervals for Population Proportion / Problem 2

Problem 2

A news website asks visitors to vote online on whether a newly released public service advertisement is “respectful” or “disrespectful.” Of the $1500$ visitors who responded, $1230$ said the ad was respectful and $270$ said it was disrespectful. Construct a $95 percent sign$ confidence interval estimate of the true proportion of all viewers who believe the ad is respectful.

A

$13.14 percent sign is less than p is less than 24.36 percent sign$

B

$40.03 percent sign is less than p is less than 44.71 percent sign$

C

$63.91 percent sign is less than p is less than 77.22 percent sign$

D

$80.06 percent sign is less than p is less than 83.94 percent sign$