Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a a = 0.05 significance level. Category A B C D E Observed Expected Frequency Frequency 18.0 20 22 12 22 14 O 18.0 08 18.0 OF 18.0 08 18.0 08 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x² c. What are the degrees of freedom? d.f.=
Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a a = 0.05 significance level. Category A B C D E Observed Expected Frequency Frequency 18.0 20 22 12 22 14 O 18.0 08 18.0 OF 18.0 08 18.0 08 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x² c. What are the degrees of freedom? d.f.=
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
100%
![Given the 5 categories in the table below, test the
claim that the categories are equally likely to be
selected at a a = 0.05 significance level.
Category
A
B
с
D
E
Observed
Expected
Frequency Frequency
18.0 ✓
20
22
12
22
14
0
18.0
f. Make a decision.
18.0✔
Fail to reject the null.
8
g. Make a conclusion.
✓
18.0
8
a. Complete the table by calculating the expected
frequencies.
Or
b. What is the chi-square test statistic? Round to
three decimal places.
x² =
18.0
Or
c. What are the degrees of freedom?
d.f.=
>
d. What is the p-value for this sample? Round to
four decimal places.
p-value=
e. Is the p-value less than a? No
OB
There is sufficient evidence to warrant
rejection of the claim that all 5 categories
are equally likely to be selected.
There is not sufficient evidence to
warrant rejection of the claim that all 5
categories are equally likely to be
selected.
The sample data support the claim that
all 5 categories are equally likely to be
selected.
There is not sufficient sample evidence to
support the claim that all 5 categories are
equally likely to be selected.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fe45194-e1a9-4901-b715-7f22cd2e7bb2%2F1bb73b25-5e56-491a-9036-164220f70913%2Fy5m9pzn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the 5 categories in the table below, test the
claim that the categories are equally likely to be
selected at a a = 0.05 significance level.
Category
A
B
с
D
E
Observed
Expected
Frequency Frequency
18.0 ✓
20
22
12
22
14
0
18.0
f. Make a decision.
18.0✔
Fail to reject the null.
8
g. Make a conclusion.
✓
18.0
8
a. Complete the table by calculating the expected
frequencies.
Or
b. What is the chi-square test statistic? Round to
three decimal places.
x² =
18.0
Or
c. What are the degrees of freedom?
d.f.=
>
d. What is the p-value for this sample? Round to
four decimal places.
p-value=
e. Is the p-value less than a? No
OB
There is sufficient evidence to warrant
rejection of the claim that all 5 categories
are equally likely to be selected.
There is not sufficient evidence to
warrant rejection of the claim that all 5
categories are equally likely to be
selected.
The sample data support the claim that
all 5 categories are equally likely to be
selected.
There is not sufficient sample evidence to
support the claim that all 5 categories are
equally likely to be selected.
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