A Researcher Wants to Determine the Efficacy of a Training

Multiple Choice

A researcher wants to determine the efficacy of a training program directed at improving concentration, focus, and memory on college students.She selects a random sample of 16 individuals and has them take an initial assessment test before the training program.Then the individuals complete the training program, and at the end they take a final test that's comparable to the initial test.The results are shown in the following table: $$\begin{array} { | c | c | c | } \hline \text { Individ. } & \text { Before } & \text { After } \\\hline 1 & 79 & 81 \\\hline 2 & 74 & 73 \\\hline 3 & 81 & 82.5 \\\hline 4 & 75 & 82.5 \\\hline 5 & 72.5 & 85 \\\hline 6 & 75 & 90 \\\hline 7 & 67.5 & 83.5 \\\hline 8 & 57.5 & 72.5 \\\hline 9 & 62.5 & 87.5 \\\hline 10 & 77.5 & 80 \\\hline 11 & 61.5 & 92.5 \\\hline 12 & 57.5 & 80 \\\hline 13 & 61.5 & 71 \\\hline 14 & 72.5 & 84 \\\hline 15 & 64 & 78.5 \\\hline 16 & 71 & 97.5 \\\hline\end{array}$$ The analyst uses a Wilcoxon matched-pairs signed rank test with a 0.05 significance level.The appropriate decision is ______.

A) fail to reject the null hypothesis that the before and after scores are different
B) reject the null hypothesis that that the before and after scores are different
C) fail to reject the null hypothesis that the before and after scores are not different
D) reject the null hypothesis that the before and after scores are not different
E) do nothing