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95% confidence interval: Incorrect

95% confidence interval: Incorrect

MATLAB: An Introduction with Applications
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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**Text Section:** Although an increasing share of Americans are reading e-books on tablets and smartphones rather than dedicated e-readers, print books continue to be much more popular than books in digital format (digital format includes both e-books and audio books). A Pew Research Center survey of 1502 adults nationwide conducted January 8–February 7, 2019, found that 1081 of those surveyed had read a book in either print or digital format in the preceding 12 months. (You may regard the 1081 adults in the survey who had read a book in the preceding 12 months as a random sample of readers.) **Tasks:** - **State:** What can you say with 95% confidence about the percent of all adults who have read a book in either print or digital format in the preceding 12 months? - **Plan:** Let \( p \) represent the proportion of adults who have read a book in either print or digital format in the preceding 12 months. We want to estimate \( p \) with a 95% confidence interval. - **Solve:** Calculate a confidence interval for the population proportion of adults who have read a book in either print or digital format in the preceding 12 months. Provide the interval in the form of (lower bound, upper bound). Give the bounds to four decimal places. **Citation:** Andrew Perrin, "One-in-five Americans now listen to audiobooks," September 25, 2019 at www.pewresearch.org/fact-tank/2019/09/25/one-in-five-americans-now-listen-to-audiobooks/. The sampling scheme was more complex than an SRS, so the computation of the number in the sample who have read in the past 12 months and acting as if it were an SRS is oversimplified. **Interactive Section:** There is a text box for inputting the 95% confidence interval. **Note:** The image mentions potential errors in previous entries (indicated by "Incorrect").
Transcribed Image Text:**Text Section:** Although an increasing share of Americans are reading e-books on tablets and smartphones rather than dedicated e-readers, print books continue to be much more popular than books in digital format (digital format includes both e-books and audio books). A Pew Research Center survey of 1502 adults nationwide conducted January 8–February 7, 2019, found that 1081 of those surveyed had read a book in either print or digital format in the preceding 12 months. (You may regard the 1081 adults in the survey who had read a book in the preceding 12 months as a random sample of readers.) **Tasks:** - **State:** What can you say with 95% confidence about the percent of all adults who have read a book in either print or digital format in the preceding 12 months? - **Plan:** Let \( p \) represent the proportion of adults who have read a book in either print or digital format in the preceding 12 months. We want to estimate \( p \) with a 95% confidence interval. - **Solve:** Calculate a confidence interval for the population proportion of adults who have read a book in either print or digital format in the preceding 12 months. Provide the interval in the form of (lower bound, upper bound). Give the bounds to four decimal places. **Citation:** Andrew Perrin, "One-in-five Americans now listen to audiobooks," September 25, 2019 at www.pewresearch.org/fact-tank/2019/09/25/one-in-five-americans-now-listen-to-audiobooks/. The sampling scheme was more complex than an SRS, so the computation of the number in the sample who have read in the past 12 months and acting as if it were an SRS is oversimplified. **Interactive Section:** There is a text box for inputting the 95% confidence interval. **Note:** The image mentions potential errors in previous entries (indicated by "Incorrect").
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