Cell Phone Apps In 2010, some researchers with the Pew Internet & American Life project interviewed a random sample of adults about their cell phone usage.23 One of the questions asked was whether the respondent had ever downloaded an application or “app” to their cell phone. The sample proportion who had, based on 1917 respondents who had cell phones, was p^=0.29. (a)   Describe how you could construct a bootstrap distribution to estimate the standard error of the proportion in this situation. (b)   One such distribution, based on proportions from 5000 bootstrap samples, is shown in Figure 5.23. The standard deviation of these proportions is 0.0102. Use this information to find a 99% confidence interval for the proportion of cell phone users (in 2010) who have downloaded at least one app to their phone. Figure 5.23   Bootstrap distribution for the proportion of cell phone users who have downloaded an app

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Cell Phone Apps
In 2010, some researchers with the Pew Internet & American Life project interviewed a random sample of adults about their cell phone usage.23 One of the questions asked was whether the respondent had ever downloaded an application or “app” to their cell phone. The sample proportion who had, based on 1917 respondents who had cell phones, was p^=0.29.
(a)  
Describe how you could construct a bootstrap distribution to estimate the standard error of the proportion in this situation.
(b)  
One such distribution, based on proportions from 5000 bootstrap samples, is shown in Figure 5.23. The standard deviation of these proportions is 0.0102. Use this information to find a 99% confidence interval for the proportion of cell phone users (in 2010) who have downloaded at least one app to their phone.
Figure 5.23   Bootstrap distribution for the proportion of cell phone users who have downloaded an app
5.56 Cell Phone Apps
In 2010, some researchers with the Pew Internet & American Life project interviewed a random sample of adults about their cell phone usage.
the questions asked was whether the respondent had ever downloaded an application or "app" to their cell phone. The sample proportion who had,
based on 1917 respondents who had cell phones, was p = 0.29.
23
One of
(a) Describe how you could construct a bootstrap distribution to estimate the standard error of the proportion in this situation.
(b) One such distribution, based on proportions from 5000 bootstrap samples, is shown in Figure 5.23. The standard deviation of these proportions is
0.0102. Use this information to find a 99% confidence interval for the proportion of cell phone users (in 2010) who have downloaded at least one
app to their phone.
0.25
0.26
0.27
0.28
0.29
0.30
0.31
0.32
0.33
phat
Figure 5.23 Bootstrap distribution for the proportion of cell phone users who have downloaded an app
Transcribed Image Text:5.56 Cell Phone Apps In 2010, some researchers with the Pew Internet & American Life project interviewed a random sample of adults about their cell phone usage. the questions asked was whether the respondent had ever downloaded an application or "app" to their cell phone. The sample proportion who had, based on 1917 respondents who had cell phones, was p = 0.29. 23 One of (a) Describe how you could construct a bootstrap distribution to estimate the standard error of the proportion in this situation. (b) One such distribution, based on proportions from 5000 bootstrap samples, is shown in Figure 5.23. The standard deviation of these proportions is 0.0102. Use this information to find a 99% confidence interval for the proportion of cell phone users (in 2010) who have downloaded at least one app to their phone. 0.25 0.26 0.27 0.28 0.29 0.30 0.31 0.32 0.33 phat Figure 5.23 Bootstrap distribution for the proportion of cell phone users who have downloaded an app
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