How often do users of a certain social media post on the site? The accompanying

Question

How often do users of a certain social media post on the site? The accompanying table represents the frequency of posting for a sample of 922 respondents classified according to their age groups. At the 0.10 level of significance, is there evidence of a relationship between frequency of posting and age group?

Calculate the test statistic. X^2stat= ?

data-11 10 2017-12 07 PMdsx-Exce Insert Page Layout FormulasData Review View Add-irs Tell me what you want to do. Sign in Share AutoSum , A E Copy Merge & Center , $, % ,Conditional Format as Good Paste nsert Delete Format B r u ’ ,A, Sort & Find & Fitter Select Format Painter e Clear _ _ FomattingTable A1 18-22 23-35 36-49 50-6465 and over 2 Several_times_a_day 3 About once_a_day 4 3-5 times per week 5 1-2 times_per_week 6 Every few_weeks 7 Less_Often 8 Never 20 27 18 37 30 24 14 4 68 63 56 14 12 30 36 45 57 42 16 26 15 21 68 10 12 13 14 15 16 17 18 19 150%

Explanation / Answer

Ans:

H0:There is no association(independent)

H1:There is association(dependent)

degree of freedom=(7-1)*(5-1)=6*4=24

Test statistic:

Chi squre=241.174

p-value=0

As,p-value<0.1.we reject null hypothesis.

There is sufficient evidence to conclude that there is association between frequency of posting and age group.

Observed(O) 18-22 23-35 36-49 50-64 >65 Total several times 20 18 8 2 1 49 once 27 37 12 3 1 80 3-5 33 44 30 8 3 118 1-2 30 68 36 16 5 155 every few 24 63 45 26 7 165 less often 14 56 57 64 15 206 Never 4 14 42 68 21 149 Total 152 300 230 187 53 922 Expected(E) 18-22 23-35 36-49 50-64 >65 Total several times 8.08 15.94 12.22 9.94 2.82 49 once 13.19 26.03 19.96 16.23 4.60 80 3-5 19.45 38.39 29.44 23.93 6.78 118 1-2 25.55 50.43 38.67 31.44 8.91 155 every few 27.20 53.69 41.16 33.47 9.48 165 less often 33.96 67.03 51.39 41.78 11.84 206 Never 24.56 48.48 37.17 30.22 8.57 149 Total 152 300 230 187 53 922 Chi square=(O-E)^2/E 18-22 23-35 36-49 50-64 >65 Total several times 17.595 0.265 1.459 6.341 1.172 26.832 once 14.463 4.623 3.172 10.780 2.816 35.855 3-5 9.433 0.818 0.011 10.607 2.110 22.979 1-2 0.774 6.118 0.184 7.580 1.716 16.372 every few 0.377 1.615 0.358 1.665 0.651 4.667 less often 11.732 1.814 0.613 11.816 0.842 26.818 Never 17.215 24.524 0.628 47.231 18.053 107.651 Total 71.590 39.779 6.425 96.020 27.360 241.174

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