A local school board wants to estimate the difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 30 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Assuming the conditions for inference have been met, what is the 90% confidence interval for the difference in proportions of households that would support starting the school year a week earlier?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A local school board wants to estimate the difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 30 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Assuming the conditions for inference have been met, what is the 90% confidence interval for the difference in proportions of households that would support starting the school year a week earlier?

would support starting the school year a week earlier, and the proportion of households without school-aged
children that would support starting the school year a week earlier. They survey a random sample of 40 households
with school-aged children about whether they would support starting the school year a week earlier, and 30
households respond yes. They survey a random sample of 45 households that do not have school-aged children,
and 25 respond yes. Assuming the conditions for inference have been met, what is the 90% confidence interval for
the difference in proportions of households that would support starting the school year a week earlier?
Find the z-table here.
0.75(1-0.75) , 0.56(1–0.56)
O (0.75 - 0.56) ±1.65/
45
40
O (0.75 - 0.56) ±1.96
0.75(1-0.75) 0.56(1-0.56)
85
85
O (0.75 - 0.56)±1.65
0.75(1-0.75)
0.56(1-0.56)
+
40
45
0.75(1–0.75), 0.56(1-0.56)
(0.75 - 0.56) ±1.96
40
45
Transcribed Image Text:would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 30 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Assuming the conditions for inference have been met, what is the 90% confidence interval for the difference in proportions of households that would support starting the school year a week earlier? Find the z-table here. 0.75(1-0.75) , 0.56(1–0.56) O (0.75 - 0.56) ±1.65/ 45 40 O (0.75 - 0.56) ±1.96 0.75(1-0.75) 0.56(1-0.56) 85 85 O (0.75 - 0.56)±1.65 0.75(1-0.75) 0.56(1-0.56) + 40 45 0.75(1–0.75), 0.56(1-0.56) (0.75 - 0.56) ±1.96 40 45
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