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The Pew Research Center Internet Project conducted a survey of 657 Internet users. This survey provided...

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Basic Math

The Pew Research Center Internet Project conducted a survey of657 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.

___ to ___

(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 __

Answer & Explanation Solved by verified expert
4.2 Ratings (879 Votes)

a)

                                                                                           x                    =   591
sample size n                    = 657.0
sample proportion     p̂ x/n= 0.9000
std error       =Se            =√(p*(1-p)/n) = 0.0117
for 95 % CI value of z= 1.96
margin of error E=z*std error                            = 0.0229
lower confidence bound=sample proportion-margin of error 0.8771
Upper confidence bound=sample proportion+margin of error 0.9229

  95% confidence interval =(0.877 , 0.923)

b)

  95% confidence interval =(.634 , 0.706)

c)

95% confidence interval =(0.522 , 0.598)
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