In: Math
Was there discrimination on the Titanic? Were first-class
passengers given greater
access to life boats?
The unsinkable liner Titanic collided with an iceberg on her maiden
voyage
in 1912 and sank with great loss of life. On board were 1317
passengers, some of
whom had paid a very much higher fare than others for the voyage. A
not very
subtle sub-text in the most recent Titanic movie was the notion
that the first class
passengers survived at a higher rate than other passengers.
Imagine we can regard the first class passengers as a sample of the
total population
on board at the time of the collision. There were 324 first class
passengers of whom
62% survived the sinking. In other words our sample proportion p^ =
0:62 while n is
324. The proportion of survivors from the total population (all
passengers) on board
was p = 0:38:
Using a 0.05 significance level, test whether the survival rate for
first class passengers
was greater than that for all passengers. Do the six steps of the
test.