Social media is becoming more and more popular around the world. Suppose a website provides estimates of the number of social media users in various countries. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows. Use Social Media Yes No United Kingdom 480 320 Country China 235 265 Russia United States Russia 343 357 O Ho: All population proportions are not equal. Ha: P₁ = P₂ = P3 P4 O Ho: Not all population proportions are equal. Ha: P₁ P₂ = P3 P4 (a) Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. State the null and alternative hypotheses. Ho: P₁ = P₂= P3 = P4 H: Not all population proportions are equal. a United States 620 380 O Ho: P₁ = P₂ = P3 = P4 H: All population proportions are not equal. Find the value of the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value= United Kingdom vs. United States Russia vs. United States China vs. United States China vs. Russia United Kingdom vs. Russia Using a 0.05 level of significance, what is your conclusion? Do not reject Ho. We cannot conclude that not all population proportions are equal. Reject Ho. We cannot conclude that not all population proportions are equal. Do not reject Ho. We conclude that not all population proportions are equal. O Reject Ho. We conclude that not all population proportions are equal. (b) What are the sample proportions for each of the four countries? United Kingdom China Russia United States Which country has the largest proportion of adults using social media? O United Kingdom China (c) Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. Based on your results, which of the following comparisons show a significant difference in the proportion of adults that use social media? (Select all that apply.) United Kindom vs. China

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Question
Social media is becoming more and more popular around the world. Suppose a website provides estimates of the number of social
media users in various countries. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States
are as follows.
Use Social
Media
Yes
No
United
Kingdom
480
320
Country
China Russia
235
265
343
Need Help?
357
O Ho: All population proportions are not equal.
H₂: P₁ = P₂ = P3 = P4
Read It
OHO: Not all population proportions are equal.
Ha: P₁ = P₂ = P3 = P4
(a) Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries.
State the null and alternative hypotheses.
O Ho: P₁ = P₂ = P3 = P4
H₂: Not all population proportions are equal.
United
States
620
380
Ho: P₁ = P₂ = P3 = P4
H: All population proportions are not equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
O Do not reject Ho. We cannot conclude that not all population proportions are equal.
Reject H. We cannot conclude that not all population proportions are equal.
O Do not reject Ho. We conclude that not all population proportions are equal.
O Reject Ho. We conclude that not all population proportions are equal.
(b) What are the sample proportions for each of the four countries?
United Kingdom
China
Russia
United States
Which country has the largest proportion of adults using social media?
O United Kingdom
China
Russia
United States
(c) Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. Based on your
results, which of the following comparisons show a significant difference in the proportion of adults that use social media?
(Select all that apply.)
United Kindom vs. China
O United Kingdom vs. United States
Russia vs. United States
O China vs. United States
China vs. Russia
United Kingdom vs. Russia
Transcribed Image Text:Social media is becoming more and more popular around the world. Suppose a website provides estimates of the number of social media users in various countries. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows. Use Social Media Yes No United Kingdom 480 320 Country China Russia 235 265 343 Need Help? 357 O Ho: All population proportions are not equal. H₂: P₁ = P₂ = P3 = P4 Read It OHO: Not all population proportions are equal. Ha: P₁ = P₂ = P3 = P4 (a) Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. State the null and alternative hypotheses. O Ho: P₁ = P₂ = P3 = P4 H₂: Not all population proportions are equal. United States 620 380 Ho: P₁ = P₂ = P3 = P4 H: All population proportions are not equal. Find the value of the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? O Do not reject Ho. We cannot conclude that not all population proportions are equal. Reject H. We cannot conclude that not all population proportions are equal. O Do not reject Ho. We conclude that not all population proportions are equal. O Reject Ho. We conclude that not all population proportions are equal. (b) What are the sample proportions for each of the four countries? United Kingdom China Russia United States Which country has the largest proportion of adults using social media? O United Kingdom China Russia United States (c) Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. Based on your results, which of the following comparisons show a significant difference in the proportion of adults that use social media? (Select all that apply.) United Kindom vs. China O United Kingdom vs. United States Russia vs. United States O China vs. United States China vs. Russia United Kingdom vs. Russia
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