The Pew Research Center conducted a survey of adults, aged 18 years and older, that included 1,954 cell-phone owners. The survey found that 1,016 of adult cell-phone owners use their phone while watching TV. (Data extracted from "The Rise of the Connected Viewer," Pew Internet & American Life Project Report, July 17,2012, bit.ly/ Q27WND). The authors of the article imply that the survey proves that more than half of all adult cellphone users use their phone while watching TV.
a. Use the five-step p-value approach to hypothesis testing and a 0.05 level of significance to try to prove that more than half of all adult cellphone users use their phone while watching TV.
b. Based on your result in (a), is the claim implied by the authors valid?
c. Suppose the survey found that 1,000 of adult cellphone owners use their phone while watching TV. Repeat parts (a) and (b).
d. Compare the results of (b) and (c).