Scenario:
Researchers want to determine if parenting style impacts the number of behavioral incidents in elementary school that resulted in disciplinary action during the school year.
The researchers collect sample data on Demanding and Undemanding parental styles. The scores below represent the number of behavioral incidents of the children.
Data:
Undemanding: 14, 6, 12, 2, 10, 6, 11, 10, 1, 8
Demanding: 17, 23, 21, 15, 17, 22, 19, 22, 21, 19
Instructions:
Using the data shown above (next page), calculate the independent groups t-ratio and determine if the two means are significantly different. Use JASP to do your analysis. Calculate descriptive statistics, effect size, and confidence intervals.
1. Report the test t-value in APA style. Create an APA table of means and standard deviations, effect size, and confidence intervals. You may use the table created in the JASP program.
2. Create a graph in APA style. You may use Excel to graph the data or you may use the graph created in JASP.
3. Are the two groups significantly different with an alpha α = .05? Are the two groups significantly different with an alpha α = .01?
4. Write a short APA summary of your conclusions. Make sure to use the data to support conclusions.
We set up the null hypothesis that
H0 : (There is no difference between the two)
H0 : (Two are not equal)
The test statistics is
1.
N | Mean | StDev | SE Mean | |
Undemanding | 10 | 8 | 4.24 | 1.3 |
Demanding | 10 | 19.6 | 2.63 | 0.83 |
2.
3a.
T-Value | P-Value | DF | 99% Confidence Interval | |
-7.35 | 0.000 | 18 | -16.15 | -7.05 |
3b.
T-Value | P-Value | DF | 95% Confidence Interval | |
-7.35 | 0.000 | 18 | -14.92 | -8.28 |
Yes the two samples are significantly different from each other at both the levels of significance.
4. Since P.vlaue= 0.00 which is less then 0.01 hence it can be conclude there is significant difference between the Demanding and Undemanding parental styles.
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