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In a study, 110 children of a certain race in a certain city were randomly assigned to one of two groups: one group enrolled in a preschool, and the other group did not. A research question was whether attendance at preschool had an effect on high school graduation. The accompanying table shows whether the students graduated from regular high school or not and includes both boys and girls. Find a 95% confidence interval for the difference in proportions, and interpret it. A Click the icon to view the data. Step 1: Calculate percentages 30 or 55.6%, graduated from high school. Looking at the children who did not go to preschool, what percent graduated from high school? 54 Looking at children who went to preschool, 30.4 % of children who did not go to preschool graduated from high school. (Round to one decimal place as needed.) Step 2: Compare In this sample, the children who attend preschool are more likely to graduate than the children who don't attend preschool. Step 3: Verify conditions Although we don't have a random sample of children, we do have random assignment to groups, and the two groups are independent. We must verify that the sample sizes are large enough. Let sample 1 be children who went to preschool and let sample 2 be children who did not go to preschool. nP = 54(0.556) = 30 n (1-P1) = 54(0.444) = 24 n2P2 = 56(0.304) =O E X na (1-P2) =O Graduation data (Round to the nearest integer as needed.) Preschool No Preschool Grad HS 30 17 No Grad HS 24 39

In a study, 110 children of a certain race in a certain city were randomly assigned to one of two groups: one group enrolled in a preschool, and the other group did not. A research question was whether attendance at preschool had an effect on high school graduation. The accompanying table shows whether the students graduated from regular high school or not and includes both boys and girls. Find a 95% confidence interval for the difference in proportions, and interpret it. A Click the icon to view the data. Step 1: Calculate percentages 30 or 55.6%, graduated from high school. Looking at the children who did not go to preschool, what percent graduated from high school? 54 Looking at children who went to preschool, 30.4 % of children who did not go to preschool graduated from high school. (Round to one decimal place as needed.) Step 2: Compare In this sample, the children who attend preschool are more likely to graduate than the children who don't attend preschool. Step 3: Verify conditions Although we don't have a random sample of children, we do have random assignment to groups, and the two groups are independent. We must verify that the sample sizes are large enough. Let sample 1 be children who went to preschool and let sample 2 be children who did not go to preschool. nP = 54(0.556) = 30 n (1-P1) = 54(0.444) = 24 n2P2 = 56(0.304) =O E X na (1-P2) =O Graduation data (Round to the nearest integer as needed.) Preschool No Preschool Grad HS 30 17 No Grad HS 24 39

MATLAB: An Introduction with Applications
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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In a study, 110 children of a certain race in a certain city were randomly assigned to one of two groups: one group enrolled in a preschool, and the other group did not. A research question was whether attendance at preschool had an effect on high school graduation. The accompanying table shows whether the students graduated from regular high school or not and includes both boys and girls. Find a 95% confidence interval for the difference in proportions, and interpret it. Click the icon to view the data. Step 1: Calculate percentages Looking at children who went to preschool, 30 or 55.6%, graduated from high school. Looking at the children who did not go to preschool, what percent graduated from high school? 54' 30.4 % of children who did not go to preschool graduated from high school. (Round to one decimal place as needed.) Step 2: Compare In this sample, the children who attend preschool are more likely to graduate than the children who don't attend preschool. Step 3: Verify conditions Although we don't have a random sample of children, we do have random assignment to groups, and the two groups are independent. We must verify that the sample sizes are large enough. Let sample 1 be children who went to preschool and let sample 2 be children who did not go to preschool. nip1 = 54(0.556) = 30 1(1-P1) = 54(0.444) = 24 n n2P2 = 56(0.304) = n2 Graduation data %3D (Round to the nearest integer as needed.) Preschool No Preschool Grad HS 30 17 No Grad HS 24 39 Print Done
Transcribed Image Text:In a study, 110 children of a certain race in a certain city were randomly assigned to one of two groups: one group enrolled in a preschool, and the other group did not. A research question was whether attendance at preschool had an effect on high school graduation. The accompanying table shows whether the students graduated from regular high school or not and includes both boys and girls. Find a 95% confidence interval for the difference in proportions, and interpret it. Click the icon to view the data. Step 1: Calculate percentages Looking at children who went to preschool, 30 or 55.6%, graduated from high school. Looking at the children who did not go to preschool, what percent graduated from high school? 54' 30.4 % of children who did not go to preschool graduated from high school. (Round to one decimal place as needed.) Step 2: Compare In this sample, the children who attend preschool are more likely to graduate than the children who don't attend preschool. Step 3: Verify conditions Although we don't have a random sample of children, we do have random assignment to groups, and the two groups are independent. We must verify that the sample sizes are large enough. Let sample 1 be children who went to preschool and let sample 2 be children who did not go to preschool. nip1 = 54(0.556) = 30 1(1-P1) = 54(0.444) = 24 n n2P2 = 56(0.304) = n2 Graduation data %3D (Round to the nearest integer as needed.) Preschool No Preschool Grad HS 30 17 No Grad HS 24 39 Print Done
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