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C. The proportions of buyers of small and large brand A cars are P₁ = 157/409 and P₂ = 58/191 respectively. i. Compute the 98% confidence interval for the actual difference between the proportion of small and large brand A car buyers. ii. Using a 0.05 level of significance, test the hypothesis that the actual proportion of small brand A car buyers is 10% larger than the actual proportion of large brand A car buyers against the alternative hypothesis that the actual difference between the two proportions is less than 10%.

C. The proportions of buyers of small and large brand A cars are P₁ = 157/409 and P₂ = 58/191 respectively. i. Compute the 98% confidence interval for the actual difference between the proportion of small and large brand A car buyers. ii. Using a 0.05 level of significance, test the hypothesis that the actual proportion of small brand A car buyers is 10% larger than the actual proportion of large brand A car buyers against the alternative hypothesis that the actual difference between the two proportions is less than 10%.

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
Section10.3: Measures Of Spread
Problem 1GP
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C. The proportions of buyers of small and large brand A cars are P₁ = 157/409 and P₂ = 58/191 respectively. i. Compute the 98% confidence interval for the actual difference between the proportion of small and large brand A car buyers. ii. Using a 0.05 level of significance, test the hypothesis that the actual proportion of small brand A car buyers is 10% larger than the actual proportion of large brand A car buyers against the alternative hypothesis that the actual difference between the two proportions is less than 10%.
Transcribed Image Text:C. The proportions of buyers of small and large brand A cars are P₁ = 157/409 and P₂ = 58/191 respectively. i. Compute the 98% confidence interval for the actual difference between the proportion of small and large brand A car buyers. ii. Using a 0.05 level of significance, test the hypothesis that the actual proportion of small brand A car buyers is 10% larger than the actual proportion of large brand A car buyers against the alternative hypothesis that the actual difference between the two proportions is less than 10%.
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