Question

In: Statistics and Probability

Use SPSS for this Application Exercise: School psychologists hypothesize that more negative externalizing behaviors are related...

Use SPSS for this Application Exercise:
School psychologists hypothesize that more negative externalizing behaviors are related to more anxiety (e.g., causing fights). The table below contains the response from a sample of middle school students. What can the psychologist conclude with an α of 0.05?

anxiety neg. behavior
31
24
20
15
34
27
20
29
17
22
21
26
5
7
7
10
2
7
11
6
9
6
9
3



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

b) Input the appropriate value(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.

There is a significant positive relationship between negative externalizing behaviors and anxiety.

There is a significant negative relationship between negative externalizing behaviors and anxiety.     

There is no significant relationship between negative externalizing behaviors and anxiety.

Solutions

Expert Solution

a) What is the appropriate statistic?
Correlation
Compute the statistic selected in a): -0.815

b) Input the appropriate value(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 = 0.001 ; Decision: 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 = 0.664; medium effect

d) Make an interpretation based on the results.

There is a significant negative relationship between negative externalizing behaviors and anxiety.     

The SPSS output is:


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