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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 38E
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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.
to
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
here to search
Transcribed Image Text: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. to 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 here to search
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