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A local school board believes there is a 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 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Let ps = the true proportion of households with school-aged children that would support startin the school year a week early and pw= the true proportion of households without school-aged children that would support starting the school year a week earlier. Which of the following are the correct hypotheses to test the school board's claim? O H,i Ps- Pw = 0; Ha' Ps- Pw>0 O Hoi Ps-Pw=0; Hgi Ps-Pw<0 O Ho: Ps-Pw= 0; Ho: Ps-Pw=0 O Ho: Ps-Pw= 0; Hoi Ps-Pw=0

A local school board believes there is a 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 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Let ps = the true proportion of households with school-aged children that would support startin the school year a week early and pw= the true proportion of households without school-aged children that would support starting the school year a week earlier. Which of the following are the correct hypotheses to test the school board's claim? O H,i Ps- Pw = 0; Ha' Ps- Pw>0 O Hoi Ps-Pw=0; Hgi Ps-Pw<0 O Ho: Ps-Pw= 0; Ho: Ps-Pw=0 O Ho: Ps-Pw= 0; Hoi Ps-Pw=0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A local school board believes there is a 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 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Let ps = the true proportion of households with school-aged children that would support starting the school year a week early and pw = the true proportion of households without school-aged children that would support starting the school year a week earlier. Which of the following are the correct hypotheses to test the school board's claim? O H.: Ps-Pw = 0; Hai Ps-Pw>0 O Ho: Ps-Pw=0; Hai Ps-Pw<0 O Ho: Ps-Pw=0; Ho: Ps-Pw 0 O Ho: Ps-Pw 0; Ho: Ps-Pw=0
Transcribed Image Text:A local school board believes there is a 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 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Let ps = the true proportion of households with school-aged children that would support starting the school year a week early and pw = the true proportion of households without school-aged children that would support starting the school year a week earlier. Which of the following are the correct hypotheses to test the school board's claim? O H.: Ps-Pw = 0; Hai Ps-Pw>0 O Ho: Ps-Pw=0; Hai Ps-Pw<0 O Ho: Ps-Pw=0; Ho: Ps-Pw 0 O Ho: Ps-Pw 0; Ho: Ps-Pw=0
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