7. Gender and Relationships. The Pew Internet and American Life Project examined

Question

7. Gender and Relationships. The Pew Internet and American Life Project examined whet single men and women differed with respect to their current relationships. The observed frequencies are given here. Test the type ofrelationship is independent of gender using level of significance a 0.05 Gender Type of relationship Single men Single women 138 In committed relationship 135 191 Not in committed relationship and not looking for partner Not in committed relationship but looking for partner 84 18 19 Don't knowl refused

Explanation / Answer

applying chi test on above data

here chi square stat value =1.780

degree of freedom =(rows-1)(columns-1) =(4-1)(2-1) =3

fopr 3 df and above chi stat, pvalue =0.6192

as p value is significantly higher then 0.05 level, we do not have sufficienct evidence to claim that they differ,

Observed O single men single women Total commited 135 138 273 not commited not looking 162 191 353 not commited but looking 89 84 173 do not know 19 18 37 Total 405 431 836 Expected E=rowtotal*column total/grand total single men single women Total commited 132.255 140.745 273 not commited not looking 171.011 181.989 353 not commited but looking 83.810 89.190 173 do not know 17.925 19.075 37 Total 405 431 836 0.81 0.862 chi square =(O-E)^2/E single men single women Total commited 0.057 0.054 0.111 not commited not looking 0.475 0.446 0.921 not commited but looking 0.321 0.302 0.623 do not know 0.065 0.061 0.125 Total 0.918 0.862 1.780

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