Use the applet "Sample Size and Interval Width when EstimatingProportions" to answer the following questions.
This applet illustrates how sample size is related to the widthof a 95% confidence interval estimate for a populationproportion.
(a)
At 95% confidence, how large a sample should be taken to obtaina margin of error of 0.023?
(b)
As the sample size decreases for any given confidence level,what happens to the confidence interval?
The width of the confidence interval becomes the same as thestandard error.The confidence interval becomes more narrow becausethe sampling distribution becomeslarger. The confidence interval becomeswider because the standard error becomes larger.The confidenceinterval becomes wider than the population proportion.Theconfidence interval becomes more narrow than the populationproportion.
