The Pew Research Center Internet Project provides a variety of statistics on Internet users. For instance, in 2018, 11% (or 220) of the 2002 American adults surveyed were not Internet users. In 2000, 48% of the American adults in the survey did not use the Internet.
a. The 2018 sample survey showed that 34% of respondents who do not use the Internet said that they have no interest in doing so or do not think the Internet is relevant to their lives. Develop a 95% confidence interval for the proportion of non-Internet users who have no interest in using the Internet or do not think the Internet is relevant to their lives.
b. The 2018 sample survey showed that 32% of respondents who do not use the Internet said that the Internet is too difficult to use. Develop a 95% confidence interval for the proportion of non-Internet users who feel the Internet is too difficult to use.
c. The 2018 sample survey showed that 19% of respondents who do not use the Internet said that the expense of Internet service or owning a computer prevents them from using the Internet. Develop a 95% confidence interval for the proportion of non-Internet users for whom the expense of Internet service or owning a computer prevents them from using the Internet.
d. The 2018 sample survey showed that 8% of respondents who do not use the Internet said that they are too old to learn how to use the Internet. Develop a 95% confidence interval for the proportion of non-Internet users who feel they are too old to learn how to use the Internet.
e. Compare the margin of error for the interval estimates in parts (a), (b), (c), and (d). How is the margin of error related to the sample proportion?