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.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax