Statistics Through Applications
Statistics Through Applications
2nd Edition
ISBN: 9781429219747
Author: Daren S. Starnes, David Moore, Dan Yates
Publisher: Macmillan Higher Education
bartleby

Videos

Question
Book Icon
Chapter 9.1, Problem 9.16E

a)

To determine

To find the 95% confidence interval for p

a)

Expert Solution
Check Mark

Answer to Problem 9.16E

The 95% confidence interval is, (0.56,0.62)

Explanation of Solution

Given:

C=confidence level = 0.95

Sample proportion:

  p^=59%=0.59

Margin of error = E = 3% = 0.03

Formula:

Confidence interval for population proportion is,

  CI=p^E

Calculation:

  p^E=0.590.03=0.56p^+E=0.59+0.03=0.62

b)

To determine

To explain why we can't just say that 59% of all adults want to lose weight.

b)

Expert Solution
Check Mark

Explanation of Solution

The given proportion 59% in the Gallup Poll is just an estimate of the true population proportion. Therefore, it is likely that the proportion of adults who want to lose weight deviates from the result of 59% of the Gallup Poll.

c)

To determine

To explain meaning of 95% confidence interval.

c)

Expert Solution
Check Mark

Explanation of Solution

We are 95% confidence that the true proportion of adults who want to lose weight will fall within the interval (0.56,0.62)

d)

To determine

To explain non sampling errors.

d)

Expert Solution
Check Mark

Explanation of Solution

We need to know about the non-sampling error. There are two non-sampling errors.

a)Response bias: In this type, the method can give different value from true value. That is, the respondent influenced to answer in a wrong way so that the result will bias.

b)Nonresponse bias: In this type the results of not having data for everybody in the sample.

Chapter 9 Solutions

Statistics Through Applications

Knowledge Booster
Background pattern image
Statistics
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
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY