SOLUTION: A researcher predicts that level of marital satisfaction experienced by persons with children and persons without children differs. In order to test this hypothesis, the marital sa

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Question 463145: A researcher predicts that level of marital satisfaction experienced by persons with children and persons without children differs. In order to test this hypothesis, the marital satisfaction of 242 randomly selected married persons is measured; 122 have no children (mean satisfaction = 7.42, s = 3.92) and 120 have one child (mean satisfaction = 6.72, s = 4.04). High scores indicate high satisfaction. If alpha is set at .05, the critical value of the test statistic is
Answer by edjones(8007) About Me  (Show Source):
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0 kids: n=122, mu[0]=7.42, s=3.92
1 kid: n=120, mu[1]=6.72, s=4.04
.
H[o]:mu[0]=mu[1]
H[a]:mu[0]<>mu[1]
.

z=(7.42-6.72)/0.257=2.72
.
Since z=2.72 is in the rejection zone beyond 1.96 then the null hypothesis is rejected.
.
Ed