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Constructing and Interpreting Confidence Intervals. In

Chapter 7, Problem 13BSC

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QUESTION:

Problem 13BSC

Constructing and Interpreting Confidence Intervals.    In Exercises use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval.

From a KRC Research poll in which respondents were asked if they felt vulnerable to identity theft: n = 1002, x = 531 who said “yes.” Use a 95% confidence level.

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QUESTION:

Problem 13BSC

Constructing and Interpreting Confidence Intervals.    In Exercises use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval.

From a KRC Research poll in which respondents were asked if they felt vulnerable to identity theft: n = 1002, x = 531 who said “yes.” Use a 95% confidence level.

ANSWER:

Answer

Step 1 of 4

    Given x=531, n=1002

a)The best point estimate of the population proportion p=x/n

                                                                                        =531/1002

                                                                                        =0.53

                                                                                      q=1-p

                                                                                        =1-0.53

                                                                                        =0.47

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