Question 530182
Which would be hardest for you to give up: Your computer or your television? 
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In a recent survey of 1677 U.S. Internet users, 74% of the young tech elite (average age of 22) say their computer would be very hard to give up.
a.Develop a 95% confidence interval for the proportion of the young tech elite that would find it very hard to give up their computer.
The sample proportion = 0.74
Margin of Error = 1.96*sqrt{0.74*0.26/1677] = 0.02
95% CI: 0.74-0.-02 < p < 0.74+0.02 
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Only 48% say their television would be very hard to give up. 
b.Develop a 99% confidence interval for the proportion of the young tech elite that would find it very hard to give up their television.
The sample proportion = 0.48
99% Margin of Error = 2.5758*sqrt[0.48*0.52/1677] = 0.03
99%CI: 0.48-0.03 < p < 0.48+0.03
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c.In which case, part (a) or part (b), is the margin of 
error larger? Explain why.
Ans: b, because the Margin of error is larger.
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Cheers,
Stan H.
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