In a survey of 1,954 cellphone owners, adults aged 18 and over, 743 reported that they use their phone to keep themselves occupied during commercials or breaks in something they were watching on television, while 430 used their phone to check whether something they heard on television is true. (Data extracted from "The Rise of the Connected Viewer," Pew Research Center's Internet & American Life Project, July 17, 2012, pewinternet.Org/~/media//Files/
Reports/2012/PIP_Connected_Viewers.pdf.)
a. Construct a 95% confidence interval estimate for the population proportion of adult cell phone owners who report that they use their phone to keep themselves occupied during commercials or breaks in something they were watching on television.
b. Construct a 95% confidence interval estimate for the population proportion of adult cell phone owners who report that they use their phone to check whether something they heard on television was true.
c. Compare the results of (a) and (b).