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a. find the best point estimate of the population proportion p.(Round to three d

ID: 3313659 • Letter: A

Question

a. find the best point estimate of the population proportion p.(Round to three decimal places as needed.)

b. Identify the value of the margin of error(Round to three decimal places as needed.)

c. Construct the confidence interval(Round to three decimal places as needed.)

d. write a ststement that correctly inteprets the confidence interval(Round to three decimal places as needed.)

Score: 0 of 1 pt 36 of 40 (34 complete) | HY Score: 69.21%, 27.68 of 40 pts 7.2.13 Question Help * Use the sample data and confidence level given below to complete parts (a) through (d) A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n-1089 and x c a) Find the best point estimate of the population proportion p 570 who said "yes." Use a 99% confidence level Click the icon to view a table of z scores. (Round to three decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

99% confidence interval results:

Hence,

a) Best point estimate = 0.523

b) Margin of error = (0.56240087 - 0.48443108)/2 = 0.039

c) Confidence interval: (0.484, 0.562)

d) We are 99% confident that the true population proportion of respondents who felt vulnerable in identity theft will lie between 0.484 and 0.562.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 570 1089 0.52341598 0.015134891 0.48443108 0.56240087
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