Z? A 2018 poll of 3619 randomly selected users of a social media site found that 2463 get most of their news about worldevents on the site. Research done in 2013 found that only 46% of all the site users reported getting their news about worldevents 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 since2013? 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 mostof their news about world events on the site in 2018. Use the sample data to construct a 95% confidence interval for thepopulation 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.0.46Ho: PH₂:p #0.46(Type integers or decimals. Do not round.)Compute the z-test statistic.=Z=(Round to two decimal places as needed.)Compute the p-value.p-value=0.000(Round to three decimal places as needed.)Reject Ho or do not reject Ho and interpret the conclusion. Choose the correct answer below.

For the given test, we need to find the value of test statistic Z.

Answered: Compute the z-test statistic. Z= (Round…

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Compute the z-test statistic. Z= (Round to two decimal places as needed.) ompute then yolu

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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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.
0.46
Ho: P
H₂:p #
0.46
(Type integers or decimals. Do not round.)
Compute the z-test statistic.
=
Z=
(Round to two decimal places as needed.)
Compute the p-value.
p-value=0.000
(Round to three decimal places as needed.)
Reject Ho or do not reject Ho and interpret the conclusion. Choose the correct answer below.

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