In a recently conducted animal research investigating the su
In a recently conducted animal research investigating the survival of swine based on what drug was given, the following data was collected:
Independence of events means that P(AiBj) = P(Ai) x P(Bj) for all values of i and j. For true independence of events, the joint (cell) probabilities should equal the appropriate marginal probabilities multiplied by each other. In other words, you should be able to multiply the row and column marginal probabilities to obtain the cell probability. If this is not the case, then the events are not truly independent from a non-inferential point of view. Demonstrate that survival and drug choice are not independent solely based on the definition of independence. In other words, investigate if P(AiBj) = P(Ai) x P(Bj) for all values of i and j. (A1= Drug 1, A2= Drug 2, B1=Survied, B2= Died).
| Survived | Died | Total | |
| Drug 1 | 7 | 0 | 7 |
| Drug 2 | 5 | 2 | 7 |
| Totals | 12 | 2 | 14 |
Solution
