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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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