Question

A social researcher wants to test the hypothesis that college students may experience different levels of happiness depending on how much they are using social media. She surveyed students about the frequency of their social media use and their happiness. Among 10 heavy users, she found an average happiness score of 4.4 with a variance of 4.3, whereas the 10 light users reported an average happiness score of 6.5 with a variance of 3.4. heavy light Answer the following questions: 1. What is the null hypothesis? (1 point) 2. What is the research hypothesis? (1 point) 3. What is the dependent variable? (1 point) 4. Write out the results of an independent samples t-test using these data. In other words, provide the numerical answers: t- statistic, your critical value of t (or p-value), and degrees of freedom. (4 points) 5. Write a paragraph to explain the results of the hypothesis test using statistics from the problem with alpha=0.05. This should be two or more formal sentences to describe your findings and conclusions (3 points)

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Answer 1

a solction: cocial occorcher coonis lu lect the hypoincils : Reactived in formuliers ils giron by Xiamyy = 4.4 Xlight : 6.5 sno 403 right = 69.4 DL= 10 D) - 10 Cambiulako :- what its the ruling pothestsi- ne hale to obtained the naill hapothesis by casing given Chale is Efere, Anal hypothesis is Howlen alle z Alternative hypothesis is The denten Owhat if the Scouch hypothesisi- he hale to obtained the research hypothesils by using given Chata is Etere, beipothesis is a college Gleicbois mag eeueste ditforent levels of happiness depending on how much they are cising Social Media . cise and than happiness

- cohat. As the derindem Kloriable: sale halce to obtained thi dependent Ilariable boy casing icem - data is, Elere, → depencomst Variade iG a Happiness Gcore. Therefore, dependent Variable is [ Happines (Corel © Find the test Statistic and plalee and degree frectomi Eile have to oblained the test Statistic and p Kalced and degree of freedom it, Efere, ->test Statillic is t- Xh- XL -@ Gott hatta Gost (not) (622 -Cohore Sp² Citne -o) [lo-u[4,93 +[100 13.4) Totoo) . @x119] [email protected]) Coro 38.+6016 = TA = 6943 -6.85

te / 4.66–6. 51 Sex IIT where, Gpz 3.85 (op=80 85 = 6 aGg14 to be one - teled LoBit Ft 0,893) = 72.893) -> degree & freedom its de nitng2 = [lotl0-0) =t00-0) Tof=18 p-value is p-Kale-ft-test, df) =79.893, 18) -0.00787 Therefore t-test = 0.393 pelabels 0.0378 and 2 18

Corite a paragraph! to have to obtained Conclusion by casing gillar Cata is Rualuza 0.JR 139 0.05 Rejected puu hypothe GiG. Ot Q=0.05. alwage Therefore, there is a (utficient evidence to Canclade That The happiness is not Came in both groups.