33. Online Dating. A Pew Internet and American Life Project study reported that the proportion of urban residents who use online dating is 13%, whereas the proportion for suburban residents is 10% and the proportion for rural residents is 9%.7 Test, using level of significance , whether differences exist among the population proportions of residents from the three categories who use online dating. Assume that each sample size was 1000. (Hint: The null hypothesis assumes that all proportions are equal.)
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. : Not all the proportions in are equal. Reject if -value . Since none of the expected frequencies is less than 1 and none of the expected frequencies is less than 5, the conditions for performing the test for homogeneity of proportions are met. . -value . Since -value , we reject . There is evidence that the population proportions of residents from the three categories who use online dating are not all the same.