The E, expected count for the five categories, i = 1, 2, 3, 4, 5, is the same as E₁ = 60. The O, observed counts can be found in the data table below along with the expected counts. Use this information to compute the X² test statistic, rounded to two decimal places. Category Observed Count 49 Expected Count 60 x² = - Σ (0, - £,;)² E₁ (49-60)² 60 60 + 1 (65 - 60)² 60 + 2 65 60 3 76 60 60 4 5 49 61 60 60 - 60)² + (49 – 60)² + (61 – 60 )² 60 60 The degrees of freedom for a multinomial experiment consisting of k categories or cells where the test statistic has an approximate x² distribution is computed as df = k 1. Since the data has been classified into five categories, k = , the degrees of freedom for this test statistic is df = 4.
The E, expected count for the five categories, i = 1, 2, 3, 4, 5, is the same as E₁ = 60. The O, observed counts can be found in the data table below along with the expected counts. Use this information to compute the X² test statistic, rounded to two decimal places. Category Observed Count 49 Expected Count 60 x² = - Σ (0, - £,;)² E₁ (49-60)² 60 60 + 1 (65 - 60)² 60 + 2 65 60 3 76 60 60 4 5 49 61 60 60 - 60)² + (49 – 60)² + (61 – 60 )² 60 60 The degrees of freedom for a multinomial experiment consisting of k categories or cells where the test statistic has an approximate x² distribution is computed as df = k 1. Since the data has been classified into five categories, k = , the degrees of freedom for this test statistic is df = 4.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Need help
Transcribed Image Text:The E, expected count for the five categories, i = 1, 2, 3, 4, 5, is the same as E₁ = 60. The O, observed counts can be found in the data table below
along with the expected counts. Use this information to compute the X² test statistic, rounded to two decimal places.
X²
=
• Σ 10,- 4,3²2
E₁
=
=
Category
Observed Count 49
Expected Count 60
=
1
(49-60)² (65 - 60)²
+
60
60
60
+
2
65
60
3
76
60
60
4
5
49
61
60 60
- 60)² + (49 – 60)² + (61 – 60 )²
60
60
The degrees of freedom for a multinomial experiment consisting of k categories or cells where the test statistic has an approximate x² distribution is
computed as df = k 1. Since the data has been classified into five categories, k =
the degrees of freedom for this test statistic is df = 4.
"
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman