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Homework: practice problems-module 11 Save Score: 0.2 of 1 pt 3 of 6 (5 complete

ID: 3348332 • Letter: H

Question

Homework: practice problems-module 11 Save Score: 0.2 of 1 pt 3 of 6 (5 complete) Hw Score: 53.33%, 3.2 of 6 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-1004 and x. 597 who said "yes. Use a 95% confidence level Click the icon to view a table of z scores a) Find the best point estimate of the population proportion p. 0.595 Round to three decimal places as needed.) b) Identify the value of the margin of error E (Round to three decimal places as needed.) Standard Normal ()Distribution POSITIVE z Scores Print Done

Explanation / Answer

a) p = x / n = 597 / 1004 = 0.595

The best point estimate of the population proportion p = 0.595

b) E = Zalpha/2 * ( p * ( 1 - p ) / n )0.5

Alpha = 1 - 0.95 = 0.05

n = 1004

E = Z0.05/2 * ( 0.595 * ( 1- 0.595 ) / 1004 )0.5

E = 1.96 * 0.0155 = 0.03

Value of margin of error E = 0.03