Question

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 = 1007 and x = 541 who said "yes." Use a 99% 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) Identify the value of the margin of error 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. O A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion B. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. OC. 99% of sample proportions will fall between the lower bound and the upper bound. Click to select your answer(s).

Answer 1

The solution to this problem is given by

Solution Given data is Sample Size = n - 1007 X = Syl ^ So, estimated propoletion 10 = x и =541 =0.537 Too7 (a) Point estimate = 0.537 b) The margin of error ad 99%. CI is EE = 9.575 = 2.575(0.5372)70-5322) lood 0.00046 Ô = E =*** loll- n = 00040 is 2 ) The qay. (I + E 0.537 oloyo (0.537 0.040,0.537 +0.040) 0.497, 0.577) 10.497 Loc 0.577 C

(d) The The collect answer is (A) One has 99-1. confidence that the interval from the lower bound to the cupben bound actually contain true value of the population proportion. the