Question 2 [20 Marks A research study was carried out in Dhofar and Muscat to compare the survival of the plants of variety A and B. In Dhofar, 20 plants survived out of 160 plants planted from Variety A and 10 plants survived out of 68 plants planted from variety B. In Muscat, 2 plants survived out of 42 plants planted from Variety A and 8 plants survived out of 128 plants planted from Variety B. a. [4 marks) Exhibit the data in a three-way contingency table. b. [4 marks] Compute the sample conditional odds ratios for Dhofar and Muscat. What can you say about the survival rate of variety A and B in each region? c. [4 marks) Find the marginal odds ratio for the survival to compare the two varieties A and B and interpret. d. (2 marks] Do these data exhibit Simpsons paradox? Why? e [6 marks] Explain why the conditional and marginal odds ratios gives different conclusions. Question 2 [20 Marks A research study was carried out in Dhofar and Muscat to compare the survival of the plants of variety A and B. In Dhofar, 20 plants survived out of 160 plants planted from Variety A and 10 plants survived out of 68 plants planted from variety B. In Muscat, 2 plants survived out of 42 plants planted from Variety A and 8 plants survived out of 128 plants planted from Variety B. a. [4 marks) Exhibit the data in a three-way contingency table. b. [4 marks] Compute the sample conditional odds ratios for Dhofar and Muscat. What can you say about the survival rate of variety A and B in each region? c. [4 marks) Find the marginal odds ratio for the survival to compare the two varieties A and B and interpret. d. (2 marks] Do these data exhibit Simpsons paradox? Why? e [6 marks] Explain why the conditional and marginal odds ratios gives different conclusions