2.100 Survival and class on the Titanic. On April 15, 1912, on her maiden voyage, the Titanic collided with an iceberg and sank. The ship was luxurious but did not have enough lifeboats for the 2224 passengers and crew. As a result of the collision, 1502 people died.28 The level of luxury and the price of the ticket varied with the class, first class being the most luxurious. There were 323 passengers in first class, 277 in second class, and 709 in third class. The number of first-class passengers who survived was 200. For second- and third-class passengers who survived, the numbers were 119 and 181, respectively. Let's look at these data with a two-way table. a. Create a two-way table that you could use to explore the relationship between survival and class. b. Which variable is the explanatory variable, and which is the response variable? Give reasons for your answers. c. Find the two marginal distributions. Write a brief summary explaining the major features of these distributions. d. Which conditional distribution would you choose to explain the relationship between these two variables? Explain your answer. e. Find the conditional distribution that you chose in part (d) and write a summary that includes your interpretation of the relationship based on this conditional distribution.
