You may need to use the appropriate appendix table or technology to answer this question. A research center project involved a survey of 856 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that 94% 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. (Round your answers to four decimal places.) 0.9241 v to 0.9559 (b) The sample survey showed that 71% 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. (Round your answers to four decimal places.) 0.2209 x to 0.2790 (c) Fifty-five 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. (Round your answers to four decimal places.) 0.5167 to 0.5833
You may need to use the appropriate appendix table or technology to answer this question. A research center project involved a survey of 856 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that 94% 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. (Round your answers to four decimal places.) 0.9241 v to 0.9559 (b) The sample survey showed that 71% 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. (Round your answers to four decimal places.) 0.2209 x to 0.2790 (c) Fifty-five 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. (Round your answers to four decimal places.) 0.5167 to 0.5833
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
A research center project involved a survey of 856 internet users. It provided a variety of statistics on internet users.
(a) The sample survey showed that 94% 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. (Round your answers to four decimal places.)
0.9241
v to 0.9559
(b) The sample survey showed that 71% 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. (Round your answers to four decimal places.)
0.2209
x to 0.2790
(c) Fifty-five 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. (Round your answers to four decimal places.)
0.5167
v to 0.5833
(d) Compare the margin of error for the interval estimates in parts (a), (b), and (c). How
the margin of error related to the sample proportion p?
O The margin of error increases as p gets closer to 0.50.
O The margin of error decreases as p gets closer to 0.50.
O The margin of error does not change as p gets closer to 0.50.
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