SWK5015 t-Test

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Sociology

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Feb 20, 2024

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Brant After-School ACT Prep: t-Test Leah M. Packard LSW/CDCA Capella University SWK 5015: Advanced Research and Statistics in Social Work Dr. Roland 2/11/2024

Brant After-School ACT Prep Program The town of Brant started an after-school program for high school youth to prepare them for the ACT college entrance examination. I have been asked to evaluate the research findings detailed below to determine whether the after-school program had a positive effect on ACT scores. The total sample size was 65 students. Of those 65, 29 participated in the after-school program and 36 did not partake in the program. The mean score on the ACT of the 29 participants who were a part of the after-school program was 24.96. The mean score on the ACT of the 36 students who did not participate in the after-school program was 21.75 (see descriptives table below) Group Descriptives Group N Mean SD SE Coefficient of variation ACT Score Yes 2 9 24.966 3.87 7 0.72 0 0.155 No 3 6 21.750 3.58 9 0.59 8 0.165 In the table below you will find the results of the tests that were run. I utilized the independent sample t-test as this will assist in determining if the after-school program has a positive effect on ACT scores. For this data set, the T-value came out as 3.464. This value indicates the number of standard deviations the sample mean is from the null hypothesis (Navarro et al., 2019). A larger absolute t-value usually means there is a more significant difference between the two (Navarro et al., 2019). In this data set the degrees of freedom rendered 63. The p-value here was .001 which is less than .05, meaning we would reject the null hypothesis, concluding that there is a statistically significant difference between the two groups based on ACT scores. This data suggests that the after-school program was effective in producing higher ACT scores than those students who did not participate.

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