Of 41 bank customers depositing a check, 15 received some cash back. (a) Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back. (Round your answers to 4 decimal places.) The 90% confidence interval is from (b) May normality of p be assumed? O Yes O No
Of 41 bank customers depositing a check, 15 received some cash back. (a) Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back. (Round your answers to 4 decimal places.) The 90% confidence interval is from (b) May normality of p be assumed? O Yes O No
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Title: Confidence Intervals and Normality in Statistical Analysis**
**Problem Overview:**
Out of 41 bank customers depositing a check, 15 received some cash back.
---
**Questions:**
**(a)** Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back.
*(Round your answers to 4 decimal places.)*
The 90% confidence interval is from [____] to [____].
**(b)** May normality of \( p \) be assumed?
- [ ] Yes
- [ ] No
---
**Explanation:**
This exercise involves calculating a confidence interval for a proportion. A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, in this case, the proportion of depositors asking for cash back. Calculating this involves understanding the normality assumption, which generally requires the sample size to be sufficiently large for the Central Limit Theorem to apply.
The selection on whether normality can be assumed helps determine if the sample size is adequate to use the confidence interval methodologies that rely on this assumption.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e4c4622-febe-4261-b6cb-1f0d081ba2d3%2Fd4a0bdc9-4614-475b-bc80-b71a09dc94b8%2Fzcpjq9f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Confidence Intervals and Normality in Statistical Analysis**
**Problem Overview:**
Out of 41 bank customers depositing a check, 15 received some cash back.
---
**Questions:**
**(a)** Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back.
*(Round your answers to 4 decimal places.)*
The 90% confidence interval is from [____] to [____].
**(b)** May normality of \( p \) be assumed?
- [ ] Yes
- [ ] No
---
**Explanation:**
This exercise involves calculating a confidence interval for a proportion. A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, in this case, the proportion of depositors asking for cash back. Calculating this involves understanding the normality assumption, which generally requires the sample size to be sufficiently large for the Central Limit Theorem to apply.
The selection on whether normality can be assumed helps determine if the sample size is adequate to use the confidence interval methodologies that rely on this assumption.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
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

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman