Contact Statistics: Unlocking the Power of Data, 1st Edition, Wiley custom Cours

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Contact Statistics: Unlocking the Power of Data, 1st Edition, Wiley custom Course for Statistical Methods And Motivatio (STA 29 University of Kentucky Assignment Gradebook NEXT Most us adults have social ties with a large number of people, including friends, famiy co-workers, and other acquaintances. It is nearly impossible for most people to relately stal the they know, but using amathematical model, analystsestimatethat, on average, US aduit has social bes with 634 people. A survey of 1700 randomly selected us adults who are cell phone users finds that the average number or social ties for the cell phone users in the sample was 664 with a standard deviation of Does the sample provide evidence that the average number of socialties for a cell phone wner is signif canty different from the hypothesized number for al US adults? 1Hampton, k Goulet, L Ranie, Land Purcell, K "Social Networking stes and our uves, Pew Research Center pewresearch-ergr une 16, 2011. State the null and aberative hypotheses. H1 H21 p p 1 631 1 P P1 P2 vs H

Explanation / Answer

H0: µ = 634, Ha: µ 634

test statistic, z = (x-µ)/(/sqrt(n)) = (664-634)/(778/sqrt(1700)) = 1.59
for two sided test, p-value = 0.112

Do not reject H0, (using significance level 0.05, the p-value > 0.05)

No, the sample does not provide sufficient evidence

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