d) Find the p-value and compare to the significance level (5%) e) State the formal conclusion and the evidence statement (conclusion in context)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Answer D and E
In a survey conducted by the Gallup organization, 1,017 adults were asked, "In general, how much trust and confidence do you have in the mass media — such as newspapers, TV, and radio — when it comes to reporting the news fully, accurately, and fairly?" Of the 1,017 respondents, 214 said they had "no confidence at all."

Test, at the 5% level, if this sample provides evidence that the proportion of U.S. adults who have “no confidence in the media” differs significantly from 25%. Include the symbols and value of the sample statistic, the test statistic, p-value, and the conclusion of the test in context.

a) State the hypotheses.

b) State the notation and value of the sample statistic.

c) State the test-statistic (z-score).

d) Find the p-value and compare to the significance level (5%).

e) State the formal conclusion and the evidence statement (conclusion in context).
Transcribed Image Text:In a survey conducted by the Gallup organization, 1,017 adults were asked, "In general, how much trust and confidence do you have in the mass media — such as newspapers, TV, and radio — when it comes to reporting the news fully, accurately, and fairly?" Of the 1,017 respondents, 214 said they had "no confidence at all." Test, at the 5% level, if this sample provides evidence that the proportion of U.S. adults who have “no confidence in the media” differs significantly from 25%. Include the symbols and value of the sample statistic, the test statistic, p-value, and the conclusion of the test in context. a) State the hypotheses. b) State the notation and value of the sample statistic. c) State the test-statistic (z-score). d) Find the p-value and compare to the significance level (5%). e) State the formal conclusion and the evidence statement (conclusion in context).
Expert Solution
steps

Step by step

Solved in 7 steps with 13 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman