In a survey of 2, 485 website users, 1, 851 cited \"seeing photos or videos\" as

Question

In a survey of 2, 485 website users, 1, 851 cited "seeing photos or videos" as a major reason why they use a website, while 1, 231 cited "keeping up with news and current events" as a major reason why they use a website. Complete parts (a) through (c) below. a. Construct a 95% confidence interval estimate for the population proportion of website users who cited "seeing photos or videos" as a major reason why they use a website. lessthanorequalto pi lessthanorequalto b. Construct a 95% confidence interval estimate for the population proportion of website users who cited "keeping up with news and current events" as a major reason why they use a website. lessthanorequalto pi lessthanorequalto c. Compare the results of (a) and (b). Which statement below regarding the implications of the information found in (a) and (b) is correct? A. More website users cited "keeping up with news and current events" as a major reason why they use a website than cited "seeing photos or videos" as a major reason why they use a website. B. The number of website users who cited "seeing photos or videos" as a major reason why they use a website and the number who cited "keeping up with news and current events" as a major reason why they use a website are roughly the same. C. The information cannot be compared because it is derived from two different opinions. D. More website users cited "seeing photos or videos" as a major reason why they use a website than cited "keeping up with news and current events" as a major reason why they use a website.

Explanation / Answer

a) p1=1851/2485=0.7449

hence std error =(p1(1-p1)/n1)1/2 =0.0087

for 95% CI, z=1.96

hence confidence interval =point estimate -/+ z*std error =0.7277 ; 0.7620

b) p2=1231/2485=0.4954

std error =0.0100

hence confidence interval =point estimate -/+ z*std error =0.4757 ; 0.5150

c)option D is correct

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