Independent random samples of 50 boys and 50 girls in a school were asked if they are depressed for more than a week after they got broken up with by their significant other. Of the 50 boys, 26 said yes, and of the 50 girls, 35 said yes. Which of the following is a 95% confidence interval for the difference in the proportion of boys compared to the proportion of girls who are depressed for more than a week after they have been broken with by their significant other in this school?
Independent random samples of 50 boys and 50 girls in a school were asked if they are depressed for more than a week after they got broken up with by their significant other. Of the 50 boys, 26 said yes, and of the 50 girls, 35 said yes. Which of the following is a 95% confidence interval for the difference in the proportion of boys compared to the proportion of girls who are depressed for more than a week after they have been broken with by their significant other in this school?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Transcribed Image Text:Independent random samples of 50 boys and 50 girls in a school were asked if they are depressed for more than a
week after they got broken up with by their significant other. Of the 50 boys, 26 said yes, and of the 50 girls, 35 said
yes.
Which of the following is a 95% confidence interval for the difference in the proportion of boys compared to the
proportion of girls who are depressed for more than a week after they have been broken with by their significant
other in this school?
Transcribed Image Text:(0.52)(0.48)
(0.70)(0.30)
+
A
(0.52 – 0.70) ± 1.645
50
50
|(0.52)(0.48)
(0.70)(0.30)
+
(0.52 – 0.70) ± 1.961/
50
50
61
(0.52 – 0.70) ± 1.645,
39
1
1
C
100
100
50
50
61
(0.52 – 0.70) ± 1.964
39
1
1
D
100
100
50
50
35
26
(0.52 – 0.70) ± 1.96,
1
1
100
50
100
50
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