Question
You are provided with the following dataset from the Mississauga-based pharmaceutical research company, which is intended to investigate the effectiveness of various cholesterol reduction medications.
You are provided with the following dataset from the Mississauga-based pharmaceutical research company, which is intended to investigate the effectiveness of various cholesterol reduction medications. The study's objective is to determine whether there is a statistically significant difference in effectiveness among these three medications. Effectiveness is categorized into three levels: Reduced Significantly, Reduced Moderately, and No Significant Reduction. The data is summarized in the table below:
Medication Type | Reduced Significantly | Reduced Moderately | No Significant Reduction | Total |
Medication A | 25 | 35 | 15 | 75 |
Medication B | 30 | 25 | 20 | 75 |
Medication C | 20 | 15 | 30 | 65 |
Total | 75 | 75 | 65 | 215 |
Your analysis should focus on determining the existence of a significant association between the type of cholesterol reduction medication and its level of effectiveness. Assuming a 0.05 level of significance for the statistical test:
(a) What type of test do you use to analyze this problem
(b) State your null and alternative hypotheses
(c) Manually calculate the expected counts for each cell in the table.
(d) Manually calculate the test statistic, and report the degrees of freedom, critical value and p-value.
(e) Thoroughly interpret the results using both the critical value and the p-value?
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