Problem Set 1: (10 pts)
Research Scenario: As part of their study on the relation between rejection and depression in adolescents (Nolan, Flynn, & Garber, 2003), researchers collected data on externalizing behaviors (e.g., acting out in negative ways, such as causing fights), anxiety, gender, and age. Some of the data are presented below (you would need a larger sample size but this is for practice only). Select and conduct the most appropriate statistical test to determine whether there is a difference between males and females in anxiety (note you do not use all of the data provided but you must provide value labels for gender so that “male” and “female” labels are shown in your SPSS output)
Gender |
Age |
Externalizing Behaviors |
Anxiety |
M |
14 |
9 |
37 |
M |
13 |
7 |
23 |
M |
12 |
7 |
26 |
M |
12 |
3 |
21 |
M |
14 |
11 |
42 |
F |
13 |
6 |
33 |
F |
12 |
2 |
26 |
F |
14 |
6 |
35 |
F |
14 |
6 |
23 |
F |
14 |
9 |
28 |
The SPSS output is:
The SPSS graph is:
The hypothesis being tested is:
H_{0}: µ_{1} = µ_{2}
H_{1}: µ_{1} ≠ µ_{2}
The test statistic is 0.171.
The p-value is 0.868.
Since the p-value (0.868) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that there is a difference between males and females in anxiety.
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