(b) Find the probability that the sample proportion obtained from the sample of 220 Bank of America customers would be within six percentage points of the population proportion. That is, find P(.40 s Ps.52). (Round your answer to 4 decimal places. Do not round intermediate values. Round z-value to 2 decimal places.) P(0 4 s (p-hat)s0.52)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 4CR
icon
Related questions
Question

Part B

Quality Progress, February 2005, reports on improvements in customer satisfaction and loyalty made by Bank of America. A key
measure of customer satisfaction is the response (on a scale from 1 to 10) to the question: "Considering all the business you do with
Bank of America, what is your overall satisfaction with Bank of America?" Here, a response of 9 or 10 represents "customer delight."
Suppose that the survey selected 220 customers. Assume that 46% of Bank of America customers would currently express customer
delight. That is, assume p= 46.
%3D
(a) Find the probability that the sample proportion obtained from the sample of 220 Bank of America customers would be within three
percentage points of the population proportion.
That is, find P(.43 < PS.49). (Round your answer to 4 decimal places. Do not round intermediate values. Round z-value to 2
decimal places.)
P(0.43 s (p-hat) s0.49)
(b) Find the probability that the sample proportion obtained from the sample of 220 Bank of America customers would be within six
percentage points of the population proportion.
That is, find P(.40 < P<.52). (Round your answer to 4 decimal places. Do not round intermediate values. Round z-value to 2
decimal places.)
P(0.4 s (p-hat) s 0.52)
Transcribed Image Text:Quality Progress, February 2005, reports on improvements in customer satisfaction and loyalty made by Bank of America. A key measure of customer satisfaction is the response (on a scale from 1 to 10) to the question: "Considering all the business you do with Bank of America, what is your overall satisfaction with Bank of America?" Here, a response of 9 or 10 represents "customer delight." Suppose that the survey selected 220 customers. Assume that 46% of Bank of America customers would currently express customer delight. That is, assume p= 46. %3D (a) Find the probability that the sample proportion obtained from the sample of 220 Bank of America customers would be within three percentage points of the population proportion. That is, find P(.43 < PS.49). (Round your answer to 4 decimal places. Do not round intermediate values. Round z-value to 2 decimal places.) P(0.43 s (p-hat) s0.49) (b) Find the probability that the sample proportion obtained from the sample of 220 Bank of America customers would be within six percentage points of the population proportion. That is, find P(.40 < P<.52). (Round your answer to 4 decimal places. Do not round intermediate values. Round z-value to 2 decimal places.) P(0.4 s (p-hat) s 0.52)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL