Question

A psychologist wants to know whether wives and husbands who both serve in a foreign war have similar levels of satisfaction in their marriage. To test this, six married couples currently serving in a foreign war were asked how satisfied they are with their spouse on a 7-point scale ranging from 1 (not satisfied at all) to 7 (very satisfied). The following are the responses from husband and wife pairs. Married Couples Wife Husband 5 5 4 6 7 5 7 6 7 5 6 5 (a) Test whether or not mean ratings differ at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.) State the decision to retain or reject the null hypothesis. Retain the null hypothesis. Reject the null hypothesis. (b) Compute effect size using eta-squared. (Round your answer to two decimal places.)

Answer 1

The null hypothesis will be that the mean of satisfaction of men = mean of satisfaction of women

Alternative hypothesis will  be that the mean of satisfaction of men ≠ mean of satisfaction of women

Here we only have data for one genders satisfaction level and not for both men and women so, so more data is needed to prove

or reject the hypothesis, now so that a Z test could be carried out