Question

Use SPSS for this Application Exercise:
A psychologist hypothesizes that depression increases with aging. It is known that the general population scores a 40 on a standardized depression test where a higher score indicates more depression. The psychologist obtains a sample of individuals that are all over 68 years old. What can the psychologist conclude with α = 0.01? The data are below.

id	depression score
2 6 8 12 3 4 11 19 5 6	76.1 44.9 55.5 42.2 30.1 67.6 65.4 36.5 54.3 47.2

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Population:
---Select--- standardized depression test elderly aging general population depression
Sample:
---Select--- standardized depression test elderly aging general population depression

c) 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

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

e) Make an interpretation based on the results.

The elderly are significantly more depressed than the population.

The elderly are significantly less depressed than the population.    

The elderly did not significantly differ on depression than the population.

Answer 1

Solution: Here concept of one sample t test is used.

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