Hypothesis Test of Proportions On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 99% confidence level that the proportion of first-class survivors is the same as third class (.25). What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test?
Hypothesis Test of Proportions On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 99% confidence level that the proportion of first-class survivors is the same as third class (.25). What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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2. Hypothesis Test of Proportions
On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss
of more than 1,500 passengers and crew. Below is a table which summarizes the total number of
passengers and the number of survivors for the crew, first-, second-, and third-class. Find the
proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the
99% confidence level that the proportion of first-class survivors is the same as third class (.25).
What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion
of your hypothesis test?
Transcribed Image Text:Class
Crew
Passengers Survived
885
212
First
Second
Third
325
202
285
118
706
178
Total
2201
710
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