Data 2.1 on page 46 deals with a survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person.” The survey results in Table 2.1 show that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know.”

Table 2.1

Response..............Frequency
Agree ............................735
Disagree......................1812
Don’t know......................78
Total.............................2625

(a) Find a 90% confidence interval for the proportion of people who disagree with the statement.

(b) Find a 90% confidence interval for the proportion of people who ‘‘don’t know.”

(c) Which estimate has the larger margin of error?

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.