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?
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
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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?

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

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.
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