A psychologist wants to know whether wives and husbands who both serve in a fore

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, she uses a matched-pairs design by asking six married couples currently serving in a foreign war to rate 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:

Wife Husband

(a) Test whether or not satisfaction ratings differ at a .05 level of significance. State the value of the test statistic (round answer to three decimal places) state the decision to retain or reject the null hypothesis.

(b) Compute effect size using eta-squared (round answer to two decimal places)

Explanation / Answer

Two-Sample T-Test and CI: wife, husband

Two-sample T for wife vs husband

N Mean StDev SE Mean
wife 6 6.33 1.21 0.49
husband 6 5.333 0.516 0.21

Difference = mu (wife) - mu (husband)
Estimate for difference: 1.000
95% CI for difference: (-0.315, 2.315)
T-Test of difference = 0 (vs not =): T-Value = 1.86 P-Value = 0.112 DF = 6

P-value >0.05 we do not reject null hypothesis.

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