I need to be sure I am writing conclusion of research correctly based on hypothe

Question

I need to be sure I am writing conclusion of research correctly based on hypothesis:). fail to reject null?

The hypothesis to be addressed is Children between the ages of 5 and 12 years with at least one parent currently deployed and living in on-base housing report lower levels of anxiety related to war and terrorism than their counterparts living in off-base housing. The null hypothesis would be: Children between the ages of 5 and 12 years with a least one parent currently deployed and living in on-base housing report levels of anxiety related to war and terrorism at levels similar to their counterparts living off-base.

T test - 1.00 = living on base scores 2.00 t test below

T-TEST GROUPS=group(1.00 2.00)

Independent Samples Test                                      
       Levene's Test for Equality of Variances       t-test for Equality of Means                      
F Sig. t df Sig. (2-tailed)   Mean Difference   Std. Error Difference   95% Confidence Interval of the Difference  
Lower   Upper

CPTDSI_tot   Equal variances assumed   .000   .983 -018 28 .986 -.06667   3.67549 -7.59556   7.46223
   Equal variances not assumed -.018   27.965 .986 -.06667   3.67549 -7.59599   7.46266

Group Statistics                  
group N Mean   Std. Deviation   Std. Error Mean
CPTDSI_tot   1="base housed"   15   48.9333   10.24323 2.64479
2="non-base 15 49.0000 9.88505 2.55231

Explanation / Answer

Since the interval of t-test for Equality of Means is not included 0, we reject the null hypothesis.

So we can not conclude that Children between the ages of 5 and 12 years with a least one parent currently deployed and living in on-base housing report levels of anxiety related to war and terrorism at levels similar to their counterparts living off-base.

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