Question

Psychologists Erik Erikson suggested that individuals go through eight developmental stages of life. Erikson believed that at stage 8 (age 65 to death), an adult's fear of death can be predicted by the satisfaction they feel when reflecting back on their lives. To investigate, a psychiatrist interviewed a random sample of adults age 65 and older, and scored them on their satisfaction with their lives and their fear of death. The psychiatrist hypothesizes that more life satisfaction will predict more fear of death. What can be concluded with α = 0.01?

fear of death	satisfied
6 4 3 8 9 7 7 6 5 4 3 7 2	7 5 2 9 2 10 4 5 4 3 4 6 5

a) What is the appropriate statistic?
---Select--- na Correlation Slope Chi-Square
Compute the statistic selected above:  

b) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
Effect size =  ;   ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

More life satisfaction significantly predicts more fear of death.More life satisfaction significantly predicts less fear of death.    Life satisfaction does not significantly predict fear of death.

Answer 1

a) What is the appropriate statistic?
Ans: The correct answer from the list is Slope.

b) Compute the appropriate test statistic(s) to make a decision about H₀.

Hypothesis

Null Hypothesis: Slope=0

Alternative Hypothesis: Slope > 0

Coefficientsa
Model		Unstandardized Coefficients		Standardized Coefficients	t	Sig.
		B	Std. Error	Beta
1	(Constant)	2.947	1.873		1.574	.144
	fear_of_death	.390	.321	.344	1.216	.250

The P-value for one tail=0.250/2=0.125
Decision: Fail to reject H0.

c)

ANOVAb
Model		Sum of Squares	df	Mean Square	F	Sig.
1	Regression	8.399	1	8.399	1.478	.250a
	Residual	62.524	11	5.684
	Total	70.923	12

Effect size=8.399/70.923=0.1184

It is a small effect.

d) Life satisfaction does not significantly predict fear of death.