a health psychologist tests a new intervention to determine if it can change healthy behaviors among siblings to conduct the this test issuing a matched pairs design the researcher gives one sibling an intervention and the other sibling is given a control task without the intervention the number of healthy behaviors observed in the sibling during a 5 minute observation were then recorded
Yes: 10, 7, 11, 8, 7, 7, 10, 7, 6, 4, 11, 8, 11, 8
No: 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4
Analyze the data with the appropriate t test on SPSS and write your
results in APA format. let a= 0.05
Ans:
Matched pairs t test:
Subject | Yes | No | d |
1 | 10 | 1 | 9 |
2 | 7 | 1 | 6 |
3 | 11 | 1 | 10 |
4 | 8 | 1 | 7 |
5 | 7 | 1 | 6 |
6 | 7 | 1 | 6 |
7 | 10 | 1 | 9 |
8 | 7 | 2 | 5 |
9 | 6 | 2 | 4 |
10 | 4 | 2 | 2 |
11 | 11 | 2 | 9 |
12 | 8 | 3 | 5 |
13 | 11 | 3 | 8 |
14 | 8 | 4 | 4 |
d-bar | 6.429 | ||
sd | 2.344 |
Test statistic:
t=(6.429-0)/(2.344/SQRT(14))
t=10.262
df=14-1=13
p-value=tdist(10.262,13,2)=0.0000
As,p-value<0.05,reject the null hypothesis and we can conclude that there is significant difference in the number of healthy behaviors.
t(13)=10.262,p<0.05,significant
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