A researcher is interested in studying whether men and women differ in marriage satisfaction. For each couple, both the husband and wife complete a survey to assess their level of satisfaction. Is an independent samples t test appropriate to test the null that men and women's marriage satisfaction levels are the same?
No, Sample data sets obtained from husband and wife can never be considered as independent samples. We know that whenever there is a relationship between the two samples, then the samples are not assumed to be independent.
In case of husband and wife, there is a direct relationship or correlation between two samples, which makes these samples as paired samples and not the independent samples.
Hence, an independent samples t test is not appropriate to test the null that men and women's marriage satisfaction levels are the same
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