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-agedchildren that would support starting the school year a week earlier. They survey a random sample of 40 householdswith school-aged children about whether they would support starting the school year a week earlier, and 30households 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 forthe 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) ±1.65/4540O (0.75 - 0.56) ±1.960.75(1-0.75) 0.56(1-0.56)8585O (0.75 - 0.56)±1.650.75(1-0.75)0.56(1-0.56)+40450.75(1–0.75), 0.56(1-0.56)(0.75 - 0.56) ±1.964045

Given that Sample sizes n1=40 , n2=45 Favorable cases x1=40 , x2=25

Answered: A local school board wants to estimate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?