Question

# The Pew Research Center Internet Project conducted a survey of 957 Internet users. This survey provided...

The Pew Research Center Internet Project conducted a survey of 957 Internet users. This survey provided a variety of statistics on them.

 (a) The sample survey showed that 90% of respondents said the Internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. ____to____ (b) The sample survey showed that 67% of Internet users said the Internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends. ____to____ (c) Fifty-six percent of Internet users have seen an online group come together to help a person or community solve a problem, whereas only 25% have left an online group because of unpleasant interaction. Develop a 95% confidence interval for the proportion of Internet users who say online groups have helped solve a problem. ____to____ (d) Compare the margin of error for the interval estimates in parts (a), (b), and (c). How is the margin of error related to the sample proportion? The margin of error - Select your answer -increases or decreases as p gets closer to .50.

a)

95% confidence interval for the proportion of respondents =0.8810 to 0.9190

b)

95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friend 0.6402 to 0.6998

c)

95% confidence interval =0.5285 to 0.5915

d)

margin of error increases as p gets closer to .50.

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