You may need to use the appropriate technology to answer this question. Social networking is becoming more and more popular around the world. A survey was conducted of adults in several countries to determine the percentage of adults who use social networking sites. Assume that the results for surveys in Great Britain, Israel, Russia, and the United States are as follows. Use Social Networking Sites Country Great Britain (GB) Israel (I) Russia (R) United States (US) Yes 328 255 287 480 No 472 245 413 520 (a) Conduct a hypothesis test to determine whether the proportion of adults using social networking sites is equal for all four countries. State the null and alternative hypotheses. H0: Not all population proportions are equal. Ha: pGB = pI = pR = pUSH0: pGB = pI = pR = pUS Ha: All population proportions are not equal. H0: All population proportions are not equal. Ha: pGB = pI = pR = pUSH0: pGB = pI = pR = pUS Ha: Not all population proportions are equal. Find the value of the test statistic. (Round your answer to three 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? Reject H0. We conclude that not all population proportions are equal.Do not reject H0. We conclude that not all population proportions are equal. Do not reject H0. We cannot conclude that not all population proportions are equal.Reject H0. We cannot conclude that not all population proportions are equal. (b) What are the sample proportions of people who use social networking sites for each of the four countries? pGB = pI = pR = pUS = Which country has the largest proportion of adults using social networking sites? Great BritainIsrael RussiaUnited States (c) Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. (Round your answers for the critical values to four decimal places.) Comparison pi − pj CVij GB vs. I GB vs. R GB vs. US I vs. R I vs. US R vs. US Which comparisons show a significant difference? (Select all that apply.) Great Britain vs. IsraelGreat Britain vs. RussiaGreat Britain vs. United StatesIsrael vs. RussiaIsrael vs. United StatesRussia vs. United States

You may need to use the appropriate technology to answer this question. Social networking is becoming more and more popular around the world. A survey was conducted of adults in several countries to determine the percentage of adults who use social networking sites. Assume that the results for surveys in Great Britain, Israel, Russia, and the United States are as follows. Use Social Networking Sites Country Great Britain (GB) Israel (I) Russia (R) United States (US) Yes 328 255 287 480 No 472 245 413 520 (a) Conduct a hypothesis test to determine whether the proportion of adults using social networking sites is equal for all four countries. State the null and alternative hypotheses. H0: Not all population proportions are equal. Ha: pGB = pI = pR = pUSH0: pGB = pI = pR = pUS Ha: All population proportions are not equal. H0: All population proportions are not equal. Ha: pGB = pI = pR = pUSH0: pGB = pI = pR = pUS Ha: Not all population proportions are equal. Find the value of the test statistic. (Round your answer to three 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? Reject H0. We conclude that not all population proportions are equal.Do not reject H0. We conclude that not all population proportions are equal. Do not reject H0. We cannot conclude that not all population proportions are equal.Reject H0. We cannot conclude that not all population proportions are equal. (b) What are the sample proportions of people who use social networking sites for each of the four countries? pGB = pI = pR = pUS = Which country has the largest proportion of adults using social networking sites? Great BritainIsrael RussiaUnited States (c) Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. (Round your answers for the critical values to four decimal places.) Comparison pi − pj CVij GB vs. I GB vs. R GB vs. US I vs. R I vs. US R vs. US Which comparisons show a significant difference? (Select all that apply.) Great Britain vs. IsraelGreat Britain vs. RussiaGreat Britain vs. United StatesIsrael vs. RussiaIsrael vs. United StatesRussia vs. United States

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Question

You may need to use the appropriate technology to answer this question.

Social networking is becoming more and more popular around the world. A survey was conducted of adults in several countries to determine the percentage of adults who use social networking sites. Assume that the results for surveys in Great Britain, Israel, Russia, and the United States are as follows.

Use Social Networking Sites	Country
Great Britain (GB)	Israel (I)	Russia (R)	United States (US)
Yes	328	255	287	480
No	472	245	413	520

(a)

Conduct a hypothesis test to determine whether the proportion of adults using social networking sites is equal for all four countries.

State the null and alternative hypotheses.

H₀: Not all population proportions are equal.
H_a: p_GB = p_I = p_R = p_USH₀: p_GB = p_I = p_R = p_US
H_a: All population proportions are not equal. H₀: All population proportions are not equal.
H_a: p_GB = p_I = p_R = p_USH₀: p_GB = p_I = p_R = p_US
H_a: Not all population proportions are equal.

Find the value of the test statistic. (Round your answer to three 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?

Reject H₀. We conclude that not all population proportions are equal.Do not reject H₀. We conclude that not all population proportions are equal. Do not reject H₀. We cannot conclude that not all population proportions are equal.Reject H₀. We cannot conclude that not all population proportions are equal.

(b)

What are the sample proportions of people who use social networking sites for each of the four countries?

p_GB

p_I

p_R

p_US

Which country has the largest proportion of adults using social networking sites?

Great BritainIsrael RussiaUnited States

(c)

Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. (Round your answers for the critical values to four decimal places.)

Comparison

p_i − p_j

CV_ij

GB vs. I

GB vs. R

GB vs. US

I vs. R

I vs. US

R vs. US

Which comparisons show a significant difference? (Select all that apply.)

Great Britain vs. IsraelGreat Britain vs. RussiaGreat Britain vs. United StatesIsrael vs. RussiaIsrael vs. United StatesRussia vs. United States.

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