Question

The following summary of a statistical study gives a sample statistic and a margin of error. Find the confidence interval and answer any additional questions. In a survey of 1002 ​people, 701 ​(or 70​%) said that they voted in a particular presidential election. The margin of error for this survey was 4 percentage points.​ However, actual voting records show that only 60​% of all eligible voters actually did vote. Does this imply that people lied when they responded in the​ survey? Explain. The confidence interval is from nothing ​% to nothing ​%. ​(Simplify your answers. Use ascending​ order.) Does this imply that people lied when they responded in the​ survey? A. The confidence interval includes the 60​% value. If the survey was conducted​ properly, then it is unlikely that its results would be so different from the actual​ results, implying either that respondents intentionally lied to appear favorable to the pollsters or that their memories were inaccurate. B. The confidence interval includes the 60​% value. If the survey was conducted​ properly, then there is no strong implication that people lied when they responded to the survey. C. The confidence interval does not include the 60​% value. If the survey was conducted​ properly, then there is no strong implication that people lied when they responded to the survey. D. The confidence interval does not include the 60​% value. If the survey was conducted​ properly, then it is unlikely that its results would be so different from the actual​ results, implying either that respondents intentionally lied to appear favorable to the pollsters or that their memories were inaccurate.

Answer 1

the sample population proportion of the eligible voters who did vote:

The margin of error given is 0.04

The confidence interval will be

The confidence interval is from  66% to 74%

Option D is right

The confidence interval does not include the 60​% value. If the survey was conducted​ properly, then it is unlikely that its results would be so different from the actual​ results, implying either that respondents intentionally lied to appear favorable to the pollsters or that their memories were inaccurate.