Which would be hardest for you to give up: your computer or your television? In
ID: 3333616 • Letter: W
Question
Which would be hardest for you to give up: your computer or your television? In a recent survey of 1677 college students, 74% of them say their computer would be very hard to give up. Only 48% say their television would be very hard to give up.
(a) Develop a 95% condence interval for the proportion who would nd it very hard to give up their computer.
(b) Develop a 95% condence interval for the proportion who would nd it very hard to give up their television.
(c) Can you conclude that a higher proportion would nd it dicult to give up their computer than their television? Why or why not?
Explanation / Answer
answera)
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
95%CI=(0.76,0.72)
answer b)
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
99%CI=(0.45,0.51)
answer c)
yes beacause margin error of televison is greater than computer
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