In Data 2.1 on page 46, we describe a study in which a random sample of 2625 US adults were asked whether they agree or disagree that there is ‘‘only one true love for each person.” The study tells us that 735 of those polled said they agree with the statement. The standard error for this sample proportion is 0.009. Define the parameter being estimated, give the best point estimate, the margin of error, and find and interpret a 95% confidence interval.

Data 2.1 on page 46

A nationwide US telephone survey conducted by the Pew Foundation in October 2010 asked 2625 adults ages 18 and older ‘‘Some people say there is only one true love for each person. Do you agree or disagree?” In addition to finding out the proportion who agree with the statement, the Pew Foundation also wanted to find out if the proportion who agree is different between males and females, and whether the proportion who agree is different based on level of education (no college, some college, or college degree). The survey participants were selected randomly, by landlines and cell phones.