The following summaries of statistical studies give a sample statistic and a margin error. Find the confidence interval and answer any additional questions. In a survey of 1002 people, 701 which is...

The following summaries of statistical studies give a sample statistic and a margin error. Find the confidence interval and answer any additional questions.

In a survey of 1002 people, 701 which is 70% said that they voted in the most recent presidental election. the margin of error for the survey was 3 percentage points. however acutal voting records show that only 61% of all eligible voters actually did vote. does this necessarily imply that people lied when they answer the survery? explain.