Question

In 1912 the luxury liner Titanic struck an iceberg and sank on its first voyage. Some passengers got off the ship in lifeboats, but many died. Here is information about who lived and who died, by gender.

	Men	Women	Total
Died	680	126	806
Survived	168	317	485
Total	848	443	1291

Now look at the data set comparing gender and survival.

1. Suggest two tests you can do to see if there is a relationship.
2. For each test, clearly formulate the null and alternative hypothesis. Make sure to define any parameters you used when setting up the null and alternative hypothesis.  

Answer 1

One test : chi square test of independence, this will tests whether there is an association between gender and survival. The hypothesis under this test is:

H0: Survival of the passengers is independent of gender

H1: Survival of the passengers is dependent on gender.

Another test: G test(likelihood ratio test)

It is another tests used in place of the chi square test. The hypothesis is,

H0: observed frequencies are from random sampling from a distribution with the given expected frequencies

H1: Observed frequencies are not from the given sampling distribution.