IN a survey of 2406 adults 1916 reported that emails are eas

IN a survey of 2406 adults, 1916 reported that e-mails are easy to misinterpret, but only 1,201 reported that telephone conversations are easy to misinterpret. Complete parts a through c. below.

Construct a 95% confidence interval estimate for the population proportion of adults who report that e-mails are easy to misinterpret.

_________ ? ? ? __________

Construct a p5% confidence interval estimate for the population proportion of adults who report that telephone conversations are easy to misinterpret.

_________ ? ? ? __________

Compare results of A and B. Which of the following statements regarding the implications of the information found in a. and b. is correct?

A.) The information cannot be compared because it is derived from two different opinions

B.) The number of adults that believe that emails are easy to misinterpret and the number of adults that believe telephone conversations are easy to misinterpret are roughly the same

C.) More adults believe that emails are easy to misinterpret than the number that believe that telephone conversations are easy to misinterpret.

D.) More adults believe that telephone conversations are easy to misinterpret than the number that believe that emails are easy to misinterpret.

Solution

a)

95% confidence interval estimate for the population proportion of adults who report that e-mails are easy to misinterpret 0.7803 < p < 0.8124

2)

p5% confidence interval estimate for the population proportion of adults who report that telephone conversations are easy to misinterpret 0.4792 < P < 0.5191

C.) More adults believe that emails are easy to misinterpret than the number that believe that telephone conversations are easy to misinterpret.

sample size n 2406
Sample x 1916
Sample proportion phat= 0.796342
Confidence coefficent, 1-alpha= 95%
alpha= 5%
Zalpha/2=(z s.t P( Z> z)=alpha/2= 1.959964
SD(p)=sqrt(phat*(1-phat)/n) 0.00821
Upper limit=phat+Zalpha/2*SD(p) 0.812434
Lower limit=phat+Zalpha/2*SD(p)= 0.780251
IN a survey of 2406 adults, 1916 reported that e-mails are easy to misinterpret, but only 1,201 reported that telephone conversations are easy to misinterpret.

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