Answered: Most US adults have social ties with a…

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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Question 5

How Many Social Ties Do You Have?

Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. It is nearly impossible for most people to reliably list all the people they know, but using a mathematical model, social analysts estimate that, on average, a US adult has social ties with 634 people.¹ A survey of 1700 randomly selected US adults who are cell phone users finds that the average number of social ties for the cell phone users in the sample was 664 with a standard deviation of 778. Does the sample provide evidence that the average number of social ties for a cell phone user is significantly different from 634, the hypothesized number for all US adults?

¹Hampton, K., Goulet, L., Rainie, L., and Purcell, K., ‘‘Social Networking Sites and Our Lives,” Pew Research Center, pewresearch.org, June 16, 2011.

State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,634,ρ,p^,p^1,p^2,r.

H0: vs Ha:Edit

Give the test statistic and the p-value and state the conclusion of the test.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic = Enter your answer; test statistic

p-value = Enter your answer; p-value

Conclusion: Choose the answer from the menu; Conclusion

H0.

Does the sample provide evidence that the average number of social ties for a cell phone user is significantly different from 634, the hypothesized number for all US adults?

Yes

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