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? Find the z-table here. O (0.75 - 0.56) ±1.65 0.75(1–0.75) , 0.56(1–0.56) 45 40 | 0.75(1-0.75) , 0.56(1–0.56) O (0.75 - 0.56) t1.96 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) O (0.75 - 0.56) ±1.96 40 45
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? Find the z-table here. O (0.75 - 0.56) ±1.65 0.75(1–0.75) , 0.56(1–0.56) 45 40 | 0.75(1-0.75) , 0.56(1–0.56) O (0.75 - 0.56) t1.96 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) O (0.75 - 0.56) ±1.96 40 45
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Related questions
Question

Transcribed Image Text: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?
Find the z-table here.
0.75(1-0.75), 0.56(1-0.56)
O (0.75 - 0.56) ±1.65
45
40
0.75(1-0.75) 0.56(1-0.56)
O (0.75 - 0.56) ±1.96,
85
85
O (0.75 - 0.56) ±1.65,
0.75(1-0.75)
0.56(1-0.56)
+
40
45
O (0.75 - 0.56) ±1.96
0.75(1-0.75)
0.56(1-0.56)
40
45
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