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1)  degrees of freedom where r is the number of rows and c is the number of columns from the observed frequencies. The given observed data are below. Preferred Pace of Life Gender Male Female Slower 229 217 No Preference 21 25 Faster 90 48 Total 340 290

1)  degrees of freedom where r is the number of rows and c is the number of columns from the observed frequencies. The given observed data are below. Preferred Pace of Life Gender Male Female Slower 229 217 No Preference 21 25 Faster 90 48 Total 340 290

MATLAB: An Introduction with Applications
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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The test statistic was found to be 
?2 = 9.545.
 For a test of independence between two categorical variables, there will be 
(r − 1)(c − 1)
 degrees of freedom where r is the number of rows and c is the number of columns from the observed frequencies. The given observed data are below.
Preferred Pace of Life Gender
Male Female
Slower 229 217
No Preference 21 25
Faster 90 48
Total 340 290
There are 
r = 
 rows for the preferred pace of life and 
c = 
 columns for gender. Thus, there are 
(r − 1 )(c − 1) = 
 degrees of freedom.
Recalling that this is an upper tail test, use technology to find the p-value for 
?2 = 9.545,
 rounding the result to four decimal places.
p−value = 
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