Males vs Females and One True Love 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 answers to three decimal places. The 95% confidence interval is Enter your answer in accordance to item (a) of the question statement to Enter your answer in accordance to item (a) of the question statement . (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? Choose the answer from the menu in accordance to item (b) of the question statement YesNo