Research is conducted regarding the average age at retirement for four careers. A total of 700 people who recently retired are randomly selected. The resulting data are displayed in the contingency table below. The research question is: Are there differences in the retirement age for the four career types? A. Assuming a 5% significance level, what is the appropriate decision for this test and why?  B. Write a one-sentence conclusion statement.  C.Examine the standardized residuals presented in the table below and discuss any significant results in 2-4 sentences

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
100%

Research is conducted regarding the average age at retirement for four careers. A total of 700 people who recently retired are randomly selected. The resulting data are displayed in the contingency table below. The research question is: Are there differences in the retirement age for the four career types?

A. Assuming a 5% significance level, what is the appropriate decision for this test and why? 

B. Write a one-sentence conclusion statement. 

C.Examine the standardized residuals presented in the table below and discuss any significant results in 2-4 sentences 

 

Sales
Professor
50-55
56-60
61-65
-0.7647958 0.4118653
0.8634598 -1.0085071
-2.3134070 -1.5464506 0.9428090 1.4532065
1.9615130 0.7184902 -1.1959150 -0.2253239
0.4137104 -0.5639452 -0.2419001
65+
Nurse
Data analyst 1.0568458
Transcribed Image Text:Sales Professor 50-55 56-60 61-65 -0.7647958 0.4118653 0.8634598 -1.0085071 -2.3134070 -1.5464506 0.9428090 1.4532065 1.9615130 0.7184902 -1.1959150 -0.2253239 0.4137104 -0.5639452 -0.2419001 65+ Nurse Data analyst 1.0568458
Age of retirement
50-55
56-60
61-65
65+
Sales
10
40
75
40
Professor
5
30
80
60
=
Career type
Nurse
Expected cell frequency:
56-60
61-65
65+
Sales
50-55
12.72857 37.47857 67.88571 46.90714
13.50000 39.75000 72.00000 49.75000
Professor
Nurse
13.73143 40.43143 73.23429 50.60286
Data analyst 14.04000 41.34000 74.88000 51.74000
21
45
63
49
The appropriate test was performed in R. The results are shown below:
data: observed
|X-squared = 20.771, df
9, p-value = 0.01371
Data analyst
18
44
70
50
Transcribed Image Text:Age of retirement 50-55 56-60 61-65 65+ Sales 10 40 75 40 Professor 5 30 80 60 = Career type Nurse Expected cell frequency: 56-60 61-65 65+ Sales 50-55 12.72857 37.47857 67.88571 46.90714 13.50000 39.75000 72.00000 49.75000 Professor Nurse 13.73143 40.43143 73.23429 50.60286 Data analyst 14.04000 41.34000 74.88000 51.74000 21 45 63 49 The appropriate test was performed in R. The results are shown below: data: observed |X-squared = 20.771, df 9, p-value = 0.01371 Data analyst 18 44 70 50
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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