A 2018 poll of 3619 randomly selected users of a social media site found that 2463 get most of their news about world events on t site. Research done in 2013 found that only 46% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013? Carry out a hypothesis test and use a 0.05 significance level. b. After conducting the hypothesis test, a further question one might ask is what proportion of all of the site users get most of their news about world events on the site in 2018. Use the sample data to construct a 95% confidence interval for the population proportion. How does your confidence interval support your hypothesis test conclusion? a. State the null and alternative hypotheses. Let p be the proportion of site users who get their world news on the site. Ho: P = Ha: P0.46 (Type integers or decimals. Do not round.) Compute the z-test statistic. 0.46 Z= (Round to two decimal places as needed.) Compute the p-value. p-value= (Round to three decimal places as needed.)

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
A 2018 poll of 3619 randomly selected users of a social media site found that 2463 get most of their news about world events on the
site. Research done in 2013 found that only 46% of all the site users reported getting their news about world events on this site.
a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013?
Carry out a hypothesis test and use a 0.05 significance level.
b. After conducting the hypothesis test, a further question one might ask is what proportion of all of the site users get most of their
news about world events on the site in 2018. Use the sample data to construct a 95% confidence interval for the population
proportion. How does your confidence interval support your hypothesis test conclusion?
a. State the null and alternative hypotheses. Let p be the proportion of site users who get their world news on the site.
Ho: P
Ha:p #
0.46
(Type integers or decimals. Do not round.)
Compute the z-test statistic.
= 0.46
Z=
(Round to two decimal places as needed.)
Compute the p-value.
p-value
(Round to three decimal places as needed.)
Transcribed Image Text:A 2018 poll of 3619 randomly selected users of a social media site found that 2463 get most of their news about world events on the site. Research done in 2013 found that only 46% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013? Carry out a hypothesis test and use a 0.05 significance level. b. After conducting the hypothesis test, a further question one might ask is what proportion of all of the site users get most of their news about world events on the site in 2018. Use the sample data to construct a 95% confidence interval for the population proportion. How does your confidence interval support your hypothesis test conclusion? a. State the null and alternative hypotheses. Let p be the proportion of site users who get their world news on the site. Ho: P Ha:p # 0.46 (Type integers or decimals. Do not round.) Compute the z-test statistic. = 0.46 Z= (Round to two decimal places as needed.) Compute the p-value. p-value (Round to three decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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