1. Jealousy Compute a within-groups (paired samples) t-test for the mood scores
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Question
1. Jealousy Compute a within-groups (paired samples) t-test for the mood scores from the jealousy data. Researchers wanted to know if jealousy for imagined infidelity by a significant other was higher or lower than jealousy for imagined emotional infidelity. Recall that for this data set, participant’s mood was measured at two different times. The first measurements represent mood after imagining partners engaging in sexual infidelity. The second measurements represent mood after imagining partners engaging in emotional infidelity. Recall that higher scores on this measure indicate more psychological discomfort. Here is the data: Mood ratings after imagined sexual infidelity by partner: 7,9,7,8,5,2,4,9,8,4 Mood ratings after imagined emotional infidelity by partner: 9,9,9,8,7,6,6,8,8,6 Conduct ONE within-subjects (DEPENDENT) t-test using two of these composite mood variables. Answer the following: 1. P value:______________ 2. Later a study is conducted using the same measure of jealousy and finds there is no difference between sexual and emotional jealousy. Does their finding agree with your analyses?_____ 3. If you answered no to the above question, what type of error did you make?___________ 4. Write a short paragraph reporting your findings. Include: A brief (no more than one paragraph) summary outlining the question being asked by this analysis, the nature of the analysis being conducted, the results, and the implications (relate to the research hypothesis) of these results. See examples from the walkthrough 5. Take a screenshot of the Excel output for this data analysis and paste it below.
Explanation / Answer
Solution:
Here, we have to use paired t test. The null and alternative hypotheses are given as below:
Null hypothesis: H0: There is no statistically significant difference between sexual and emotional jealousy.
Alternative hypothesis: Ha: There is a statistically significant difference between sexual and emotional jealousy.
H0: µ1 = µ2 Vs Ha: µ1 µ2
This is a two tailed test.
We assume 5% level of significance for this test.
= 0.05
The test statistic formula is given as below:
t = Dbar / [Sd/sqrt(n)]
Calculation table is given as below:
Mood ratings after imagined sexual infidelity by partner
Mood ratings after imagined emotional infidelity by partner
Di
(Di - DBar)^2
7
9
-2
0.49
9
9
0
1.69
7
9
-2
0.49
8
8
0
1.69
5
7
-2
0.49
2
6
-4
7.29
4
6
-2
0.49
9
8
1
5.29
8
8
0
1.69
4
6
-2
0.49
From above table, we have
Sample size = n = 10
Degrees of freedom = n - 1 = 10 – 1 = 9
Dbar = -1.3
Sd = 1.4944
Test statistic = t = -1.3/[1.4944/sqrt(10)]
Test statistic = t = -2.7508
P-value = 0.0224
(by using t-table)
P-value < = 0.05
So, we reject the null hypothesis that there is no statistically significant difference between sexual and emotional jealousy.
There is insufficient evidence that there is no statistically significant difference between sexual and emotional jealousy.
Questions:
1
P value:0.0224
2
Later a study is conducted using the same measure of jealousy and finds there is no difference between sexual and emotional jealousy. Does their finding agree with your analyses?
No, their finding does not agree with our analysis. There is insufficient evidence that there is no statistically significant difference between sexual and emotional jealousy
3
If you answered no to the above question, what type of error did you make?
Type II error
(Type II error is the error when you do not reject the null hypothesis even it is not true)
4
Write a short paragraph reporting your findings.
For the given test, we have to test the hypothesis or claim whether there is a statistically significant difference between sexual and emotional jealousy. For checking this significant difference, we use paired t test which give p-value as 0.0224. The result is statistically significant at alpha = 0.05 or 5% level of significant. So, we reject the null hypothesis that there is no statistically significant difference between sexual and emotional jealousy. There is insufficient evidence that there is no statistically significant difference between sexual and emotional jealousy.
Mood ratings after imagined sexual infidelity by partner
Mood ratings after imagined emotional infidelity by partner
Di
(Di - DBar)^2
7
9
-2
0.49
9
9
0
1.69
7
9
-2
0.49
8
8
0
1.69
5
7
-2
0.49
2
6
-4
7.29
4
6
-2
0.49
9
8
1
5.29
8
8
0
1.69
4
6
-2
0.49
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