In a study, 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 1. Male Female Total Agree 372 363 735 Disagree 807 1005 1812 Don't know 34 44 78 Total 1213 1412 2625 Table 1 Is there only one true love for each person? (a) Use the information in the table to construct 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. Round your answe to three decimal places. to i The 95 % confidence interval is (b) 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? No 70°F Sunny

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