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.

1.The sample mean is an unbiased estimator for
the population mean. This means:
The sample mean always equals the population mean.
The average sample mean, over all possible samples, equals the
population mean.
The sample mean will only vary a little from the population
mean.
The sample mean has a normal distribution.
2.Which of the following statements is
CORRECTabout the sampling distribution of the
sample mean:
The standard error of the sample mean will decrease as the
sample size increases....

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