a) Based on these results, what would be the survival probability of a woman with a first classticket?(b) Based on these results, what would be the survival probability of a man with a first class ticket?(c) Based on these results, what would be the survival probability of a man with a third classticket?(d) Perform a formal hypothesis test at the .05 significance level to assess whether class is relatedto the survival probability. Be sure to formally define your hypotheses, show how you calculateyour test statistic, and state your conclusion, including briefly discussing what you learn.

(3) This question involves analysis of data on the passengers on the Titanic. Specifically, the table below shows estimates from a logistic regression predicting survival (1=survived, 0=did not survive) for passengers on the ship. The two predictors are class of ticket (1-first class, 2-second class, 3-third class where this variable is treated as continuous even though it only has these three ordered values) and a dummy variable for male. The standard errors are in parentheses below each estimate. TABLE 1. Logistic Regression Model of Survival on the Titanic Intercept 3.29** * (0.30) Ticket Class -0.96*** (0.11) Male 2.64*** (0.18 Num. obs. 891 ***p