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 95% confidence level that the proportion of first-class survivors is the same as .50. What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test? Class Passengers Survived Crew 885 212 First 325 202 Second 285 118 Third 706 178 Total 2201 710
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 95% confidence level that the proportion of first-class survivors is the same as .50. What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test? Class Passengers Survived Crew 885 212 First 325 202 Second 285 118 Third 706 178 Total 2201 710
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
Transcribed Image Text:2.) 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
95% confidence level that the proportion of first-class survivors is the same as .50. What do you
calculate for the test-statistic? What is the critical statistic? What is the conclusion of your
hypothesis test?
Class
Passengers Survived
Crew
885
212
First
325
202
Second
285
118
Third
706
178
Total
2201
710
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