3.66

MalesvsFemales and One True Love

In Data2.1we 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 Table3.6. 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?

Table3.6Is there one true love for each person?

Male Female Total

Agree 372 363 735

Disagree 807 1005 1812

Don't know 34 44 78

Total 1213 1412 2625