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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Social networking is becoming more and more popular around the world. Pew Research Center used a survey of adults in several countries to determine the percentage of adults who use social networking sites (USA Today,
February 8, 2012). Assume that the results for surveys in Great Britain, Israel, Russia and United States are as follows.
Country
Use Social
Great
United
Networking sites
Britain
Israel
Russia
States
Yes
344
265
301
500
No
456
235
399
500
a. Conduct a hypothesis test to determine whether the proportion of adults using social networking sites equal for all four countries. Using a .05 level of significance. Use Table 12.4.
1. H, P, +P; - P, - P,
2. H, P -P; - P, = P.
3. H, P, + P; - P, +P.
Choose correct answer from above choice
2
Hạ: Not all population proportions are equal
The p-value is less than .01
what is your conclusion?
Conclude the population proportions are not all equal.
b. What are the sample proportions for each of the four countries? Round your answers to two decimal places.
Great Britain
0.43
Israel
0.53
Russia
0,43
United States
0.50
Which country has the largest proportion of adults using social networking sites?
Israel
c. Using a .05 level of significance, conduct multiple pairwise comparison tests among the four countries. Round Pi Pjand Diff to two decimal places. Round CV ij to four decimal places.
Comparison
Pi
Diff
n 2
CV ij
Diff > CV i
Pi
GB vs I
0.43
0.53 O
-0.10
800
500
0.0793
Yes
GB vs R
0.43
0.43
0.00
800
700
0.716
No
GB vs USA
0.43
0.5
-0.07
80
1000
0.0659
Yes
I vs R
0.53
0.43
0.10
500
700
0.0814
Yes
I vs USA
0.53
0.5
0.03
500
1000
0.0765
No
R vs USA
0.43
0.5
-0.07
700
1000
0.0685
Yes
O 9 9 9 9
9 9 9 9 9
9 9 9 9 9
O 9 O 9 9
9 99 9 9 9
© © © © ®
Transcribed Image Text:Social networking is becoming more and more popular around the world. Pew Research Center used a survey of adults in several countries to determine the percentage of adults who use social networking sites (USA Today, February 8, 2012). Assume that the results for surveys in Great Britain, Israel, Russia and United States are as follows. Country Use Social Great United Networking sites Britain Israel Russia States Yes 344 265 301 500 No 456 235 399 500 a. Conduct a hypothesis test to determine whether the proportion of adults using social networking sites equal for all four countries. Using a .05 level of significance. Use Table 12.4. 1. H, P, +P; - P, - P, 2. H, P -P; - P, = P. 3. H, P, + P; - P, +P. Choose correct answer from above choice 2 Hạ: Not all population proportions are equal The p-value is less than .01 what is your conclusion? Conclude the population proportions are not all equal. b. What are the sample proportions for each of the four countries? Round your answers to two decimal places. Great Britain 0.43 Israel 0.53 Russia 0,43 United States 0.50 Which country has the largest proportion of adults using social networking sites? Israel c. Using a .05 level of significance, conduct multiple pairwise comparison tests among the four countries. Round Pi Pjand Diff to two decimal places. Round CV ij to four decimal places. Comparison Pi Diff n 2 CV ij Diff > CV i Pi GB vs I 0.43 0.53 O -0.10 800 500 0.0793 Yes GB vs R 0.43 0.43 0.00 800 700 0.716 No GB vs USA 0.43 0.5 -0.07 80 1000 0.0659 Yes I vs R 0.53 0.43 0.10 500 700 0.0814 Yes I vs USA 0.53 0.5 0.03 500 1000 0.0765 No R vs USA 0.43 0.5 -0.07 700 1000 0.0685 Yes O 9 9 9 9 9 9 9 9 9 9 9 9 9 9 O 9 O 9 9 9 99 9 9 9 © © © © ®
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