Question

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

If required, round your answers to four decimal places.

(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. |

Answer #1

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.

The Pew Research Center Internet Project conducted a survey of
857 Internet users. This survey provided a variety of statistics on
them.
If required, round your answers to four decimal places.
(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...

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