The Ignorance Survey: United States The Ignorance Surveys were conducted in 2013 using random sampling methods in four different countries under the leadership of Hans Rosling, a Swedish statistician and international health advocate. The survey questions were designed to assess the ignorance of the public to global population trends. The survey was not just designed to measure ignorance (no information), but if preconceived notions can lead to more wrong answers than would be expected by random guessing. One question asked, "In the last 20 years the proportion of the world population living in extreme poverty has...", and three choices were provided: 1.)"almost doubled" 2.) "remained more or less the same" and 3.) "almost halved". Of 1005 U.S. respondents, just 5 % gave the correct answer: "almost halved"1. We would like to test if the percent of correct choices is significantly different than what would be expected if the participants were just randomly guessing between the three choices. ¹http://www.gapminder.org/GapminderMedia/wp-uploads/Results-from-the-Ignorance-Survey-in-the-US..pdf (a) What are the null and alternative hypotheses? H || # 74. :> μ 41 I₂ Ho: II vs Ha: ::μ₂ A :: p :: p ^ P₁ P₁ A :: P₂ ID :: P₂ r # 1/3 p H 18 :: I₁
The Ignorance Survey: United States The Ignorance Surveys were conducted in 2013 using random sampling methods in four different countries under the leadership of Hans Rosling, a Swedish statistician and international health advocate. The survey questions were designed to assess the ignorance of the public to global population trends. The survey was not just designed to measure ignorance (no information), but if preconceived notions can lead to more wrong answers than would be expected by random guessing. One question asked, "In the last 20 years the proportion of the world population living in extreme poverty has...", and three choices were provided: 1.)"almost doubled" 2.) "remained more or less the same" and 3.) "almost halved". Of 1005 U.S. respondents, just 5 % gave the correct answer: "almost halved"1. We would like to test if the percent of correct choices is significantly different than what would be expected if the participants were just randomly guessing between the three choices. ¹http://www.gapminder.org/GapminderMedia/wp-uploads/Results-from-the-Ignorance-Survey-in-the-US..pdf (a) What are the null and alternative hypotheses? H || # 74. :> μ 41 I₂ Ho: II vs Ha: ::μ₂ A :: p :: p ^ P₁ P₁ A :: P₂ ID :: P₂ r # 1/3 p H 18 :: I₁
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
q13
![(c) State the conclusion in context.
O We do not have evidence that the proportion giving the correct answer is significantly worse than just random
guessing.
We have evidence that the proportion giving the correct answer is significantly better than just random guessing.
We have evidence that the proportion giving the correct answer is significantly worse than just random guessing.
O We do not have evidence that the proportion giving the correct answer is significantly better than just random
guessing.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc13f20a8-8076-4759-be8e-2fed662bfd07%2F13021223-a001-417c-9cf8-b8f5d3ea3890%2Fs3275mo_processed.png&w=3840&q=75)
Transcribed Image Text:(c) State the conclusion in context.
O We do not have evidence that the proportion giving the correct answer is significantly worse than just random
guessing.
We have evidence that the proportion giving the correct answer is significantly better than just random guessing.
We have evidence that the proportion giving the correct answer is significantly worse than just random guessing.
O We do not have evidence that the proportion giving the correct answer is significantly better than just random
guessing.
![The
Ignorance Survey: United States
The Ignorance Surveys were conducted in 2013 using random sampling methods in four different countries under the leadership of
Hans Rosling, a Swedish statistician and international health advocate. The survey questions were designed to assess the ignorance of
the public to global population trends. The survey was not just designed to measure ignorance (no information), but if preconceived
notions can lead to more wrong answers than would be expected by random guessing. One question asked, "In the last 20 years the
proportion of the world population living in extreme poverty has...", and three choices were provided: 1.)"almost doubled" 2.)
"remained more or less the same" and 3.) "almost halved". Of 1005 U.S. respondents, just 5 % gave the correct answer: "almost
halved"1. We would like to test if the percent of correct choices is significantly different than what would be expected if the
participants were just randomly guessing between the three choices.
¹http://www.gapminder.org/GapminderMedia/wp-uploads/Results-from-the-Ignorance-Survey-in-the-US..pdf
(a) What are the null and alternative hypotheses?
Ho:
H
||
#
p-value =
74.
:>
μ
41
I₂
II vs Ha:
::μ₂
A
:: p
:: p
P₁
^
A
P₁ :: P₂
J
:: P₂
r
(b) Using technology, construct a randomization distribution and compute the p-value.
Round your answer to three decimal places.
# 1/3
p
H
18
:: I₁](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc13f20a8-8076-4759-be8e-2fed662bfd07%2F13021223-a001-417c-9cf8-b8f5d3ea3890%2Fbo5frmo_processed.png&w=3840&q=75)
Transcribed Image Text:The
Ignorance Survey: United States
The Ignorance Surveys were conducted in 2013 using random sampling methods in four different countries under the leadership of
Hans Rosling, a Swedish statistician and international health advocate. The survey questions were designed to assess the ignorance of
the public to global population trends. The survey was not just designed to measure ignorance (no information), but if preconceived
notions can lead to more wrong answers than would be expected by random guessing. One question asked, "In the last 20 years the
proportion of the world population living in extreme poverty has...", and three choices were provided: 1.)"almost doubled" 2.)
"remained more or less the same" and 3.) "almost halved". Of 1005 U.S. respondents, just 5 % gave the correct answer: "almost
halved"1. We would like to test if the percent of correct choices is significantly different than what would be expected if the
participants were just randomly guessing between the three choices.
¹http://www.gapminder.org/GapminderMedia/wp-uploads/Results-from-the-Ignorance-Survey-in-the-US..pdf
(a) What are the null and alternative hypotheses?
Ho:
H
||
#
p-value =
74.
:>
μ
41
I₂
II vs Ha:
::μ₂
A
:: p
:: p
P₁
^
A
P₁ :: P₂
J
:: P₂
r
(b) Using technology, construct a randomization distribution and compute the p-value.
Round your answer to three decimal places.
# 1/3
p
H
18
:: I₁
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 4 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman