A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVS. Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVs. Assuming conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales that are SUVs? Find the z-table here. O (0.45-0.30) ±1.96 0.45(1-0.45) 60 + 0.30(1-0.30) 55 Ⓒ (0.55-0.70)+1.96 0.55(1-0.55) 0.70(1-0.70) 55 60 + O (0.45-0.30) ±2.58 0.45(1-0.45) 60 + 0.30(1-0.30) 55 Ⓒ (0.55-0.70) +2.58 0.55(1-0.55) 0.70(1-0.70) 55 60 +

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
A major car dealership has several stores in a big city. The owner wants to determine if there is a difference
in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store
from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVS.
Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVS. Assuming
conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales
that are SUVs?
Find the z-table here.
O (0.45-0.30) ±1.96
0.45(1-0.45)
60
0.30(1-0.30)
55
O (0.55-0.70)+1.96
0.55(1-0.55)
55
+
Ⓒ (0.45-0.30) ±2.58
0.45(1-0.45)
60
+
0.30(1-0.30)
55
Ⓒ (0.55-0.70) ±2.58
0.55(1-0.55) 0.70(1–0.70)
55
60
+
+
0.70(1–0.70)
60
Transcribed Image Text:A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVS. Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVS. Assuming conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales that are SUVs? Find the z-table here. O (0.45-0.30) ±1.96 0.45(1-0.45) 60 0.30(1-0.30) 55 O (0.55-0.70)+1.96 0.55(1-0.55) 55 + Ⓒ (0.45-0.30) ±2.58 0.45(1-0.45) 60 + 0.30(1-0.30) 55 Ⓒ (0.55-0.70) ±2.58 0.55(1-0.55) 0.70(1–0.70) 55 60 + + 0.70(1–0.70) 60
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