Exercise 21.13 reports a 2016 Pew Research Center survey on public library usage in which 768 in a sample of 1601 American adults said that they had visited, in person, a library or bookmobile in the last year. Use Table 21.1 to give a 99% confidence interval for the proportion of all American adults who have done this. How does your interval compare with the 95% confidence interval of Exercise 21.13?

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

21.28 I have provided the table and the question that you may need to answer the question. Thank you 

Using public libraries. Exercise 21.13 reports a 2016 Pew Research Center survey on public library usage in which 768 in a sample of 1601 American adults said that they had visited, in person, a library or bookmobile in the last year. Use Table 21.1 to give a 99% confidence interval for the proportion of all American adults who have done this.

How does your interval compare with the 95% confidence interval of Exercise 21.13?

 

Table 21.1 Critical values of the Normal distributions
Confidence level C
Critical value z*
Confidence level C
Critical value z'
50%
0.67
90%
1.64
60%
0.84
95%
1.96
70%
1.04
99%
2.58
80%
1.28
99.9%
3.29
Transcribed Image Text:Table 21.1 Critical values of the Normal distributions Confidence level C Critical value z* Confidence level C Critical value z' 50% 0.67 90% 1.64 60% 0.84 95% 1.96 70% 1.04 99% 2.58 80% 1.28 99.9% 3.29
21.13 Using public libraries. In 2016, the Pew Research Center reported the results of
a survey about public library usage. A nationally representative sample of 1601 people
ages 16 and older who were living in the United States completed the survey. One
survey question asked whether the survey respondent had visited, in person, a library
or a bookmobile in the last year. A total of 768 of those surveyed answered “yes" to this
question. Although the samples in national polls are not SRSS, they are similar enough
that our method gives approximately correct confidence intervals.
a. Explain in words what the parameter p is in this setting.
b. Use the poll results to give a 95% confidence interval for p.
c. Write a short explanation of your findings in part (b) for someone who knows no
statistics.
Transcribed Image Text:21.13 Using public libraries. In 2016, the Pew Research Center reported the results of a survey about public library usage. A nationally representative sample of 1601 people ages 16 and older who were living in the United States completed the survey. One survey question asked whether the survey respondent had visited, in person, a library or a bookmobile in the last year. A total of 768 of those surveyed answered “yes" to this question. Although the samples in national polls are not SRSS, they are similar enough that our method gives approximately correct confidence intervals. a. Explain in words what the parameter p is in this setting. b. Use the poll results to give a 95% confidence interval for p. c. Write a short explanation of your findings in part (b) for someone who knows no statistics.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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