In a pre-test post-test experimental design, a researcher is interested to test the effect of a new cholesterol-lowering drug as an alternative to statins. Data collected from a sample of 20 patients, as follow: Test the hypothesis that the new drug is effective to lower the cholesterol level at 0.01 level of significance. [3.5 Marks] a. State the appropriate null and alternative hypotheses; b. Calculate the test statistic; c. Determine the critical value; d. What would be your decision and conclusion. Justify your answer; e. Is it appropriate to calculate and interpret the 99% CI? f. Calculate and interpret two appropriate measures of effect size; g. Run the analysis through SPSS and answer the part 'd' and 'f" by using the SPSS output. Respondent 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Pre-test 5.16 5.25 4.89 4.90 4.77 5.61 5.64 4.63 5.01 6.41 5.66 5.56 5.27 5.84 6.04 5.43 5.71 6.41 5.83 6.06 Post-test 4.70 4.68 4.65 4.21 4.16 5.35 4.65 4.59 4.80 5.05 5.09 4.47 5.03 5.35 5.69 4.70 5.01 5.25 5.26 5.61