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A psychologist has hypothesized that the death of a parent, especially before a child is 12 years old, undermines the child's sense of optimism and

A psychologist has hypothesized that the death of a parent, especially before a child is 12 years old, undermines the child's sense of optimism and that this deficit is carried into adult life. To test this hypothesis, the psychologist has found five young adults who were orphaned before 12, five more who lost one parent each before the age of 12, and five young adults with both parents still alive. Each subject was tested with an optimism questionnaire. The data are as follows:

Both Parents Deceased One Parent Deceased Both Parents Alive
T=50 T=55 T=75 N=15
SS=20 SS=14 SS=16 G=180
X2=2260

Are these data sufficient to conclude that there are significant differences in optimism as a function of parental death? Use a .05 alpha level

Where does the difference lie between the three groups?

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