The text discusses a study on the travel habits of retirees, focusing on the length of their trips. The study analyzed 691 travelers, categorized into pre-retirement and post-retirement groups. The results are shown in a table based on the number of nights they stayed. ### Observed Results | Number of Nights | Pre-retirement | Post-retirement | Total | |------------------|----------------|-----------------|-------| | 4 – 7 | 236 | 166 | 402 | | 8 – 13 | 76 | 68 | 144 | | 14 – 21 | 33 | 57 | 90 | | 22 or more | 16 | 39 | 55 | | Total | 361 | 330 | 691 | ### Instructions - With this data, construct a table of estimated expected values for pre-retirement and post-retirement groups. ### Expected Values Table | Number of Nights | Pre-retirement | Post-retirement | |------------------|----------------|-----------------| | 4 – 7 | | | | 8 – 13 | | | | 14 – 21 | | | | 22 or more | | | ### Analysis Questions - Determine if there is a significant difference in the length of stay between pre-retirement and post-retirement using a significance level (\(\alpha\)) of 0.01. (a) Calculate \(\chi^2\). (b) Determine the degrees of freedom. (c) Find the critical value.
The text discusses a study on the travel habits of retirees, focusing on the length of their trips. The study analyzed 691 travelers, categorized into pre-retirement and post-retirement groups. The results are shown in a table based on the number of nights they stayed. ### Observed Results | Number of Nights | Pre-retirement | Post-retirement | Total | |------------------|----------------|-----------------|-------| | 4 – 7 | 236 | 166 | 402 | | 8 – 13 | 76 | 68 | 144 | | 14 – 21 | 33 | 57 | 90 | | 22 or more | 16 | 39 | 55 | | Total | 361 | 330 | 691 | ### Instructions - With this data, construct a table of estimated expected values for pre-retirement and post-retirement groups. ### Expected Values Table | Number of Nights | Pre-retirement | Post-retirement | |------------------|----------------|-----------------| | 4 – 7 | | | | 8 – 13 | | | | 14 – 21 | | | | 22 or more | | | ### Analysis Questions - Determine if there is a significant difference in the length of stay between pre-retirement and post-retirement using a significance level (\(\alpha\)) of 0.01. (a) Calculate \(\chi^2\). (b) Determine the degrees of freedom. (c) Find the critical value.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The text discusses a study on the travel habits of retirees, focusing on the length of their trips. The study analyzed 691 travelers, categorized into pre-retirement and post-retirement groups. The results are shown in a table based on the number of nights they stayed.
### Observed Results
| Number of Nights | Pre-retirement | Post-retirement | Total |
|------------------|----------------|-----------------|-------|
| 4 – 7 | 236 | 166 | 402 |
| 8 – 13 | 76 | 68 | 144 |
| 14 – 21 | 33 | 57 | 90 |
| 22 or more | 16 | 39 | 55 |
| Total | 361 | 330 | 691 |
### Instructions
- With this data, construct a table of estimated expected values for pre-retirement and post-retirement groups.
### Expected Values Table
| Number of Nights | Pre-retirement | Post-retirement |
|------------------|----------------|-----------------|
| 4 – 7 | | |
| 8 – 13 | | |
| 14 – 21 | | |
| 22 or more | | |
### Analysis Questions
- Determine if there is a significant difference in the length of stay between pre-retirement and post-retirement using a significance level (\(\alpha\)) of 0.01.
(a) Calculate \(\chi^2\).
(b) Determine the degrees of freedom.
(c) Find the critical value.
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