The Pew Research Center Internet Project conducted a survey of857 Internet users. This survey provided a variety of statistics onthem. If required, round your answers to four decimal places.
(a) The sample survey showed that 90% of respondents said theInternet has been a good thing for them personally. Develop a 95%confidence interval for the proportion of respondents who say theInternet has been a good thing for them personally. 0.880 to0.920
(b) The sample survey showed that 67% of Internet users said theInternet has generally strengthened their relationship with familyand friends. Develop a 95% confidence interval for the proportionof respondents who say the Internet has strengthened theirrelationship with family and friends. to
(c) Fifty-six percent of Internet users have seen an onlinegroup come together to help a person or community solve a problem,whereas only 25% have left an online group because of unpleasantinteraction. Develop a 95% confidence interval for the proportionof Internet users who say online groups have helped solve aproblem. to
(d) Compare the margin of error for the interval estimates inparts (a), (b), and (c). How is the margin of error related to thesample proportion? The margin of error as p gets closer to .50.