19:28 \( { }_{4 \uparrow}^{46+} \).Il \( 68 \% \) Statistics_for_the_Social_Sciences_Assessment_2_2024 en 3. Due to a common anxiety of statistics modules among Social Science students in higher education. An Educationist designed an intervention aimed at reducing the anxiety level for online students. An experiment was conducted to investigate if there is a significant difference between the two conditions (exposure to the interventions and no exposure to the intervention). 12 participants were selected for each of the exposure and control groups. Anxiety levels were tested to investigate if there was a difference between the two groups. The results are presented in a table below: \begin{tabular}{ccc} \hline Control group & Exposure group \\ \hline & 9 & 6 \\ & 6 & 3 \\ & 4 & 4 \\ & 3 & 5 \\ & 5 & 3 \\ & 9 & 4 \\ & 6 & 1 \\ & 7 & 3 \\ & 6 & 2 \\ & 8 & 4 \\ & 7 & 5 \\ & 8 & 4 \\ \hline \end{tabular} a. Test for hypothesis at a significant level of 0.05 if there is a difference between the two groups with regard to statistics anxiety levels. Show all your calculations and hypothesis-testing steps. (16 marks). b. Calculate and interpret the effect size using the Cohens' d. (4 marks). 4. Another research assistant in the team decided to conduct a similar study but utilising the same participants for both conditions. 10 participants were selected for the study. Anxiety levels were tested to investigate if there was a difference between the two conditions. The results are presented in the table below: The South African College of Applied Psychology (Pty) Ltd Statistics for the Social Sciences Assessment 1 Page 3 of 4 \begin{tabular}{lll} \hline \begin{tabular}{l} No exposure to the \\ intervention \end{tabular} & \begin{tabular}{l} Exposure to the \\ intervention \end{tabular} \\ \hline 9 & 3 \\ 4 & 2 \\ 3 & 3 \\ 5 & 4 \\ 8 & 5 \\ 6 & 6 \\ 6 & 4 \\ 6 & 1 \\ 4 & 3 \\ 7 & 4 \\ \hline \end{tabular} a. Run analysis in MS Excel data analysis toolpak to test for hypothesis (significant level of .01) if there is a significant improvement with regard to self-esteem among adolescents after a intervention. State the hypotheses, present the data analysis output and a decision to reject or fail to reject the null hypothesis. (7 marks). b. Calculate and interpret the effect size using Eta squared. (3 marks).
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