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. p (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. OA. One has 99% confidence that the sample proportion is equal to the population proportion. OB. 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. OD. 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

6. A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n=912 and x=578 who said​ "yes." Use a 99% confidence level.

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.)
e) Construct the confidence interval.
₂0
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
OA. One has 99% confidence that the sample proportion is equal to the population proportion.
OB. 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.
OD. 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.
Transcribed Image Text: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.) e) Construct the confidence interval. ₂0 (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. OA. One has 99% confidence that the sample proportion is equal to the population proportion. OB. 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. OD. 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.
Expert Solution
Step 1: Define the parameter

a)

Suppose p is the true population proportion of respondents who felt vulnerable to identity theft.

steps

Step by step

Solved in 5 steps with 10 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman