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= 1056 and x= 592 who said "yes." Use a 90% 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=D (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. 90% of sample proportions will fall between the lower bound and the upper bound. O B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. Oc. One has 90% 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 90% confidence that the sample proportion is equal to the population proportion.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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= 1056 and x= 592 who said "yes." Use a 90% 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.
]<p<]
|<p<
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. 90% of sample proportions will fall between the lower bound and the upper bound.
B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
C. One has 90% 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 90% 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= 1056 and x= 592 who said "yes." Use a 90% 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. ]<p<] |<p< (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. 90% of sample proportions will fall between the lower bound and the upper bound. B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. C. One has 90% 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 90% confidence that the sample proportion is equal to the population proportion.
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