Independent simple random samples of four regions gave the data on race as shown in the table. At the 1% significance level, do the data provide sufficient evidence to conclude that a difference exists in race distributions among the four regions? Northeast Midwest South West Total White 91 124 169 113 497 Black 13 12 35 5 65 Other Total 5 5 7 14 31 What are the null and alternative hypotheses? OA. Ho: The racial distribution is not the same in each of the four regions. H₂: The racial distribution is the same in each of the four regions. O B. Ho: The racial distribution is the same in each of the four regions. H₂: The racial distribution is not the same in each of the four regions. 109 141 211 132 593 O C. Ho: The racial distribution is not the same in at least two of the four regions. Ha: The racial distribution is the same in at least two of the four regions. OD. Ho: The racial distribution is the same in at least two of the four regions. Ha: The racial distribution is not the same in at least two of the four regions.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
Find the test statistic.
 
χ2=
​(Round to three decimal places as​ needed.)
Part 3
Find the​ P-value.
 
P=
​(Round to three decimal places as​ needed.)
 
Choose the correct conclusion below.
 
 
A.
Do not reject
H0.
The data
provide
sufficient evidence that there is a difference.
 
B.
Reject
H0.
The data
provide
sufficient evidence that there is a difference.
 
C.
Do not reject
H0.
The data
do not provide
sufficient evidence that there is a difference.
 
D.
Reject
H0.
The data
do not provide
sufficient evidence that there is a difference.
 
E.
At least one assumption is violated therefore the test cannot be conducted.
Independent simple
random samples of four
regions gave the data on
race as shown in the table.
At the 1% significance
level, do the data provide
sufficient evidence to
conclude that a difference
exists in race distributions
among the four regions?
Northeast
Midwest
South
West
Total
What are the null and alternative hypotheses?
White Black
91
124
169
113
497
13
12
35
5
65
Other
5
5
7
14
31
O A. Ho: The racial distribution is not the same in each of the four regions.
Ha: The racial distribution is the same in each of the four regions.
OB. Ho: The racial distribution is the same in each of the four regions.
H₂: The racial distribution is not the same in each of the four regions.
Total
109
141
211
132
593
O C. Ho: The racial distribution is not the same in at least two of the four regions.
Ha: The racial distribution is the same in at least two of the four regions.
O D. Ho: The racial distribution is the same in at least two of the four regions.
H₂: The racial distribution is not the same in at least two of the four regions.
U
Transcribed Image Text:Independent simple random samples of four regions gave the data on race as shown in the table. At the 1% significance level, do the data provide sufficient evidence to conclude that a difference exists in race distributions among the four regions? Northeast Midwest South West Total What are the null and alternative hypotheses? White Black 91 124 169 113 497 13 12 35 5 65 Other 5 5 7 14 31 O A. Ho: The racial distribution is not the same in each of the four regions. Ha: The racial distribution is the same in each of the four regions. OB. Ho: The racial distribution is the same in each of the four regions. H₂: The racial distribution is not the same in each of the four regions. Total 109 141 211 132 593 O C. Ho: The racial distribution is not the same in at least two of the four regions. Ha: The racial distribution is the same in at least two of the four regions. O D. Ho: The racial distribution is the same in at least two of the four regions. H₂: The racial distribution is not the same in at least two of the four regions. U
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