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 response and gender of the participants is shown in Table 3.6. Use the information in the table to construct and interpret a 95% confidence interval for the difference in the proportion who agree, between males and females, using the fact that the standard error for the difference is 0.018. Is it plausible that there is no difference between males and females in the proportion who agree that each person has only one true love?

Table 3.6

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.

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Male Female Total Agree 363 1005 735 372 807 34 1812 78 Disagree Don't know 44 Total 2625 1412 1213