One of the questions asked in a Pew Research Center/ USA Today poll taken in June, 2013, was: “Overall, do you approve or disapprove of the government’s collection of telephone and internet data as part of antiterrorism efforts?”
http://www.pollingreport.com/terror.htm). Of the 1512 respondents, 48% said “approve,” 47% said “disapprove,” and the rest were unsure.
a. What is the conservative margin of error for this poll?
b. Use the conservative margin of error to find a 95% confidence interval for the proportion of all adults who would have answered “approve” if asked.
c. Repeat part (b) for the answer “disapprove.”
d. Compare the confidence intervals in parts (b) and (c). From those intervals, can you conclude that one of the two opinions (approve or disapprove) was held by a majority of the population at that time? Explain.