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 958 respondents classified according to their age groups. At the 0.10 level of significance, is there evidence of a relationship between the frequency of posting and age group?

_ 18-22 23-35 36-49 50-64 65_and_over

Several_times_a_day 19 19 10 2 1

About_once_a_day 30 36 14 4 2

3-5_times_per_week 34 46 31 6 3

1-2_times_per_week 30 71 37 20 9

Every_few_weeks 24 63 50 30 4

Less_Often 18 56 58 62 15

Never 8 15 41 68 22

FIND THE X2 STAT AND THE P VALUE AT .10 LEVEL OF SIGNIFICANCE

Explanation / Answer

applying chi square tst of independence on above:

from above  X2 STAT =221.887

p value =0.0000

( pleae revert if any clarification required)

Observed Oi 18-22 22-35 36-49 50-64 65-over Total several time a day 19 19 10 2 1 51 about once a day 30 36 14 4 2 86 3-5 times per week 34 46 31 6 3 120 1-2 times per week 30 71 37 20 9 167 every few weeks 24 63 50 30 4 171 less often 18 56 58 62 15 209 Never 8 15 41 68 22 154 Total 163 306 241 192 56 958 Expected Ei=row*column/total 18-22 22-35 36-49 50-64 65-over Total several time a day 8.677 16.290 12.830 10.221 2.981 51 about once a day 14.633 27.470 21.635 17.236 5.027 86 3-5 times per week 20.418 38.330 30.188 24.050 7.015 120 1-2 times per week 28.414 53.342 42.011 33.470 9.762 167 every few weeks 29.095 54.620 43.018 34.271 9.996 171 less often 35.561 66.758 52.577 41.887 12.217 209 Never 26.203 49.190 38.741 30.864 9.002 154 Total 163 306 241 192 56 958 chi square =(Oi-Ei)2/Ei 18-22 22-35 36-49 50-64 65-over Total several time a day 12.2795 0.4508 0.6242 6.6126 1.3166 21.284 about once a day 16.1392 2.6489 2.6942 10.1642 1.8228 33.469 3-5 times per week 9.0355 1.5349 0.0218 13.5470 2.2976 26.437 1-2 times per week 0.0885 5.8451 0.5978 5.4208 0.0595 12.012 every few weeks 0.8922 1.2857 1.1333 0.5324 3.5965 7.440 less often 8.6718 1.7336 0.5593 9.6574 0.6339 21.256 Never 12.6450 23.7641 0.1317 44.6814 18.7674 99.990 Total 59.752 37.263 5.762 90.616 28.494 221.887

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