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= 1026 and x = 509 who said "yes." Use a 99% confidence level. E 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. E= (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statenment that correctly interprets the confidence interval. Choose the correct answer below. O A. 99% of sample proportions will fall between the lower bound and the upper bound. O B. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O C. 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. O D. One has 99% confidence that the sample proportion is equal to the population proportion.

MATLAB: An Introduction with Applications
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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 = 1026 and x= 509 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.
E
(Round to three decimal places as needed.)
c) Construct the confidence interval.
ts
(Round to three decimal places as needed.)
d) Write a statenment that correctly interprets the confidence interval. Choose the correct answer below.
O A. 99% of sample proportions will fall between the lower bound and the upper bound.
O B. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
O C. 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.
D. One has 99% confidence that the sample proportion is equal to the population proportion.
Transcribed Image Text: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 = 1026 and x= 509 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. E (Round to three decimal places as needed.) c) Construct the confidence interval. ts (Round to three decimal places as needed.) d) Write a statenment that correctly interprets the confidence interval. Choose the correct answer below. O A. 99% of sample proportions will fall between the lower bound and the upper bound. O B. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O C. 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. D. One has 99% confidence that the sample proportion is equal to the population proportion.
Expert Solution
Step 1

From the provided information,

Sample size (n) = 1026

From which 509 said yes that is x = 509

Confidence level = 99%

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