A 2018 poll of 3619 randomly selected users of 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? (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. O A. Reject Ho. The percentage is not significantly different from 46%. B. Do not reject Ho. The percentage is significantly different from 46%. O C. Do not reject Ho. The percentage is not significantly different from 46%. O D. Reject Ho. The percentage is significantly different from 46%. b. The 95% confidence interval for the population proportion is (0.6654, 0.6958 (Round to four decimal places as needed.) The result of the 95% confidence interval agrees with the result of the hypothesis test performed in part (a) because the value of po is inside the 95% confidence interval.
A 2018 poll of 3619 randomly selected users of 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? (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. O A. Reject Ho. The percentage is not significantly different from 46%. B. Do not reject Ho. The percentage is significantly different from 46%. O C. Do not reject Ho. The percentage is not significantly different from 46%. O D. Reject Ho. The percentage is significantly different from 46%. b. The 95% confidence interval for the population proportion is (0.6654, 0.6958 (Round to four decimal places as needed.) The result of the 95% confidence interval agrees with the result of the hypothesis test performed in part (a) because the value of po is inside the 95% confidence interval.
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
Z?
for the last part for b is it disagree or agree inside or outside? thank you
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?
(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.
A. Reject Ho. The percentage is not significantly different from 46%.
B. Do not reject Ho. The percentage is significantly different from 46%.
C. Do not reject Ho. The percentage is not significantly different from 46%.
O D. Reject Ho. The percentage is significantly different from 46%.
b. The 95% confidence interval for the population proportion is (0.6654, 0.6958
(Round to four decimal places as needed.)
The result of the 95% confidence interval agrees with the result of the hypothesis test performed in part (a) because
the value of po is inside the 95% confidence interval.
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 =
0.46
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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