Question: [30 points]

You will analyze data from a study of the effects of aspirin on myocardial infarction – see Table 2. This is a contingency table that cross-classifies two binary variables: (i) Aspirin Use with levels Placebo and Aspirin, and (ii) Myocardial Infarction with levels Yes and No.

Table 2: Problem 6 – Study on Aspirin Use and Myocardial Infarction.

Please answer the following questions:

1. [5 points] Calculate the row and columns totals of this table. What is the grand total?
2. [5 points] Calculate the expected cell values under the hypothesis of interaction of Aspirin Use and Myocardial Infarction.
3. [5 points] Calculate the expected cell values under the hypothesis of independence of Aspirin Use and Myocardial Infarction.
4. [5 points] Perform an asymptotic test of independence vs. interaction of Aspirin Use and Myocardial Infarction based on Pearson’s chi-square statistic:
5. [5 points] Perform an asymptotic test of independence vs. interaction of Aspirin Use and Myocardial Infarction based on the likelihood ratio statistic \({{G}^{2}}\) :
6. [5 points] Draw conclusions related to the effect of aspirin on the occurrence of myocardial infarction. Summarize your findings in a concise statement.

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