The role of the cell phone in modern life was investigated by a Pew Internet & American Life Project (April 2006) survey. A total of 1,286 cell phone users were interviewed in the sample. One of the objectives was to compare male and female cell phone users. For example, 32% of men admitted they sometimes don't drive safely while talking or texting on a cell phone compared to 25% of women. Also, 71 % of men used their cell phone in an emergency compared to 77% of women. Assume that half (643) of the cell phone users in the sample were men and half (643) were women.
a. Describe the two populations of interest in the survey.
b. Give an estimate of the proportion of men and the proportion of women who sometimes do not drive safely while talking or texting on a cell phone.
c. Find a 90% confidence interval for the difference between the proportions of men and women who sometimes do not drive safely while talking or texting on a cell phone.
d. From your answer to part c, can you conclude that men are more likely than women to sometimes not drive safely while talking or texting on a cell phone? Explain.
e. Give an estimate of the proportion of men and the proportion of women who used their cell phone in an emergency.
f. Conduct a test to determine whether the proportions of men and women who used their cell phone in an emergency differ. Use α = .10.