Question

The null hypothesis states there will be no difference in scores on the ADS between those who receive the standard treatment program and those who receive the standard treatment program plus Mindfulness Therapy.

**The output from the analysis is below. The results are
t(19) = 1.554, p = .137.**

Paired Sample Statistics

Mean | N | Std Deviation | Std. Error Mean | |

Pair 1 Standard Std. Mindfulness |
12.8000 10.9500 |
20 20 |
3.81962 4.28553 |
.85409 .95827 |

Paired Samples Correlations

N | Correlations | Sig | |

Pair 1 Standard- Std. Mindfulness | 20 | .141 | .554 |

Paired Samples Test

Paired Differences | |||||||||

Mean | Std. Deviation | Std. Error Mean |
95 Confidence interval of the Difference Lower |
T | df | Sig. (2- tailed) | |||

Pair 1 Standard-Std. Mindfulness | 1.85000 | 5.32398 | 1.19048 | Lower -.64170 upper 4.34170 | 1.554 | 19 | .137 | ||

What type of study design is used? Please explain.

Does the study design accurately test the null hypothesis?

Is the correct statistical test used to analyze the data? Why? Why not?

Regardless of whether or not the correct statistical test was used, are the results statistically significant? Social science research uses a p-value of .05 to determine statistical significance.

Does the researcher reject or fail to reject the null hypothesis?

What are the implications of the results for the study and the counseling field?

Answer #1

There is matched pairs and the one variable is dependent on each other. That is why we say it is paired study design.

Hypothesis for this study design would be as followed:

H_{0}: µ_{diff}=0

H_{1}: µ_{diff}<0

Yes, the accurate test is used to test the design because data is kind of dependent, so we will use paired t-test for that which we had as mentioned above.

As per the given output, our sig. value is 0.137 which is larger than 0.05 and according to the decision rule of statistics when p-value> 0.05 then the result is not statistically significant, Hence, our result is not statistically significant.

Since, the result is not statistically significant researcher would be fail to reject the null hypothesis.

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Std. Error Mean
Pair 1
T1 Scale of student's mathematics
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.99040
.00782
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Pair 1
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