In 1912 the luxury liner Titanic struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table gives inf

Kye 2021-01-30 Answered
In 1912 the luxury liner Titanic struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who survived and who died, by class of travel. Check the conditions for performing a chisquare test for association.
 First  Second  Third  Total  Survived 19794151442 Died 122167476765 Total 3192616271207
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krolaniaN
Answered 2021-01-31 Author has 86 answers
Given:  First  Second  Third  Total  Survived 19794151442 Died 122167476765 Total 3192616271207
The null hypothesis states that there is no difference in the distribution of the categorical variable for exch of the populations/treatments. The alternative hypothesis states that there is a difference.
H0: The distribution of candy chosen is the same for each survey type.
Ha: The distribution of candy chosen is not the same for each survey type.
The expected frequencies are the product of the column and row total,divided by the table total.
E11=r1×c1n=442×3191207116.82
E12=r1×c2n=442×261120795.58
E13=r1×c3n=442×6271207229.61
E21=r2×c1n=765×3191207202.18
E22=r2×c2n=765×2611207165.42
E23=r2×c3n=765×6271207397.39 Conditions
The conditions for performing a chi-square test of homogeneity /independence are: Random, Independent: (10%), Large counts.
Random: Not satisfied, because the passengers of the titanic were not randomly selected..
Independent: Satisfied, because the 1207 people are less than 10% of all people (since there are more than 12070 people).
Large counts: Satisfied, because all expected counts are at least 5.
Since the random condition is not satisfied, it is not appropriate to carry out a test of homogeneity ‘independence.
All conditions are satisfied.
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