Hypothesis test of proportions On April 15th 1912, the R.M.S. Titanic sank into the north atlantic ocean resulting in th loss of more than 1500 passengers and crew.  Below is a number of passengers and crew of survivors for the crew, first, second, and third class. Find the proportion of survivors  by type of service crew, first, second and third. Test the hypothesis at the 99% confidence level that the proportion of first class survivors is the same as third class (25)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Hypothesis test of proportions

On April 15th 1912, the R.M.S. Titanic sank into the north atlantic ocean resulting in th loss of more than 1500 passengers and crew.  Below is a number of passengers and crew of survivors for the crew, first, second, and third class.

Find the proportion of survivors  by type of service crew, first, second and 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: c?  what is the critical sttistic?

What is the conclusion of your hypothesis test?

class                                        passengers                                 survived

crew                                            885                                                212

first                                              325                                                202

second                                         285                                                118 

third                                             706                                                 178

totals                                            2201                                                710

total

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Chi-squared Tests
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman