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

ID: 3207721 • Letter: H

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 946 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? Click the icon to view the table. State the null and alternative hypotheses to test. H_0: There is no relationship between frequency of posts and age group. H_1: There is a relationship between frequency of posts and age group. Calculate the test statistic. chi_STAT^2 = squarebox (Round to two decimal places as needed.)

Explanation / Answer

expected frequencies are shown under each category as below:

several times a day

=52*162/946

52

formula for expected frequency is = (row total*column total) / N

here N=946.

we know that chi square statistic value is given by:

=Summation(actual frequency - expected frequency)2/expected frequency

Taking every cell into consideration and applying above formula we'll get chi-square statistic value = 238.223

18-22 23-35 36-49 50-64 65 and over TOTAL

several times a day

=52*162/946

=52*309/946 =52*236/946 =52*186/946 =52*53/946

52

about once a day =86*162/946 =96*309/946 =86*236/946 =86*186/946 =86*53/946 86 3-5 days per week =118*162/946 =118*309/946 =118*236/946 =118*186/946 =118*53/946 118 1-2 days per week =156*162/946 =156309/946 =156*236/946 =156*186/946 =156*53/946 156 every few weeks =167*162/946 =167*309/946 =167*236/946 =167*186/946 =167*53/946 167 less often =218*162/946 =218*309/946 =218*236/946 =218*186/946 =218*53/946 218 never =149*162/946 =149*309/946 =149*236/946 =149*186/946 =149*53/946 149 TOTAL 162 309 236 166 53 946
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