Problem 3, Titanic [7 points] Here is a table we first saw in Chapter 2 showing who survived the sinking of the Titanic based on whether they were crew members, or passengers booked in first-, second-, or third-class staterooms: Ticket Class Survival Crew First Second Third Total Alive 212 201 119 180 712 Dead 677 123 166 530 1,496 Total 889 324 285 710 2,208 (a) If we draw an individual at random, what's the probability that we will draw a member of the crew? (b) What's the probability of randomly selecting a third-class passenger who survived? (c) What's the probability of a randomly selected passenger surviving, given that the passenger was a first-class passenger? (d) If someone's chances of surviving were the same regardless of their status on the ship, how many members of the crew would you expect to have lived?

(e) Are Survival and Ticket Class related? State the null and alternative hypotheses. (f) Give the degrees of freedom for the test. (g) Perform the appropriate hypothesis test, and report the test statistic and the P- value. State your conclusions about the hypotheses.