Survivors. Here is a table showing who survived an air crash based on whether they were crew members or passengers booked in first-, business- or economy class.

a) If we draw an individual at random from this table, what’s the probability that we will draw a member of the crew?

b) What’s the probability of a randomly selected passenger surviving, given that the passenger was a first-class passenger?

c) What’s the probability of randomly selecting a passenger from the economy class who survived?

d) If someone’s chances of surviving were the same regardless of their seats and status in the plane, how many members of the crew would you expect to have lived?

e) State the null and alternative hypotheses we would test here (and the name of the test).

f) Give the degrees of freedom for the test.
g) The chi-square value for the table is 48.928, and the corresponding P-value is barely greater than 0.

State your conclusions about the hypotheses.

Transcribed Image Text:

Crew First Business Economy Total Alive 4 10 23 149 186 Dead 6 19 89 102 216 Total 10 29 112 251 402