Question

Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poil asked respondents if they felt vulnerable to identity theft. In the poll, n1087 and x = 514 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. (Round to three decimal places as needed.) b) Identity the value of the margin of error E. E- (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. Click to select your answer(s).

Answer 1

Given that Sample size (n)= 108 X = 514 (ast confidence) d 5% Z ti-a/= Zc 1.96 Sample Probortion () 514 1087 = 0.473 n A P = 0.473 w 6,0. -0.473 is the that is the best Probodhon P. Sample Probortion Point estimate of Population margin of 68808 (E) X margin of Error to n 1.96 x 0.47361-0.473) 1087 = 1.96 Х 0.0152 30.030 margin of Error E 0.030 CS Scanned with CamScanner

bor Population Proportion (c) 95% Confidence interval margin of Error et morgin offroad G I (proportion) CẾ = ( Raze PP (1.8) + (1-6) P + Zel n -(0.473 - 0.030 0.473 + 0.030 (6.443, 0.503) C. (6.443, 0.503) 0.443 503 P Interpretation : .. One has 95% Confidence that the interval from the lower bound to the upper bound actually does contain true Value ob the population the Proporton CS Scanned with CamScanner