who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso purchases, 18 receipts showed that the customer used their own cup. Assuming the conditions for inference have been met, what is the 99% confidence interval for the difference in proportion of customers who use their own cups? Find the z-table here. O (0.48 - 0.36) ±2.58 0.48(1– 0.48) , 0.36(1-0.36) 50 50 O (0.48 - 0.36)±2.33, 0.48(1–0.48) 50 0.36(1-0.36) 50 O (0.52 - 0.64) ±2.58 0.52(1-0.52), 0.64(1–0.64) 100 100 0.52(1-0.52), 0.64(1–0.64) 100 (0.52 - 0.64) ±2.33, 100

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
icon
Related questions
Question
The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers
who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own
cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is
displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all
espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso
purchases, 18 receipts showed that the customer used their own cup. Assuming the conditions for inference have
been met, what is the 99% confidence interval for the difference in proportion of customers who use their own cups?
Find the z-table here.
O (0.48 - 0.36) ±2.58/
0.48(1–0.48) , 0.36(1–0.36)
50
50
0.48(1-0.48) 0.36(1-0.36)
(0.48 - 0.36) ±2.33/
50
50
O (0.52 - 0.64)±2.58
0.52(1-0.52) 0.64(1-0.64)
+
100
100
0.52(1-0.52) , 0.64(1-0.64)
(0.52 - 0.64) ±2.33,
100
100
Transcribed Image Text:The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso purchases, 18 receipts showed that the customer used their own cup. Assuming the conditions for inference have been met, what is the 99% confidence interval for the difference in proportion of customers who use their own cups? Find the z-table here. O (0.48 - 0.36) ±2.58/ 0.48(1–0.48) , 0.36(1–0.36) 50 50 0.48(1-0.48) 0.36(1-0.36) (0.48 - 0.36) ±2.33/ 50 50 O (0.52 - 0.64)±2.58 0.52(1-0.52) 0.64(1-0.64) + 100 100 0.52(1-0.52) , 0.64(1-0.64) (0.52 - 0.64) ±2.33, 100 100
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt