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?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
Problem 8E
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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?
Class
Crew
Passengers Survived
885
212
First
Second
Third
325
202
285
118
706
178
Total
2201
710
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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