Question
A researcher conducted a goodness-of-fit test by using categorical data. Her data consists of 4 categories....
A researcher conducted a goodness-of-fit test by using categorical data. Her data consists of 4 categories. Her null hypothesis states that the data occur in each category with the same frequency. If she found the test statistic χ2=χ2=12.03:
What is the degree of freedom of the χ2χ2 statistic? 3
What is the P-value of the goodness-of-fit test? (Round to 3 decimals)
Homework Answers
Answer #1
A researcher conducted a goodness-of-fit test.
Her data consists of 4 categories.
K=4
null hypothesis :- the data occur in each category with the same frequency.
Chi square statistics = 
= 12.03:
What is the degree of freedom :-
Df = k - 1 = 4 - 1 = 3
What is the P-value of the goodness-of-fit test
Excel command :-
CHIDIST (
, df ) = CHIDIST(12.03, 3 ) = 0.007.
P.value = 0.007 < 0.05 =alpha
This is statistically significant
Not the answer you're looking for?
Similar Questions
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
HoHo :
pA=0.1pA0.1; pB=0.5pB0.5; pC=0.3pC0.3; pD=0.1pD0.1
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
23
B
54
C
37
D
8
What is the chi-square test-statistic for this data?
χ2=
What is the P-Value?
P-Value =
For significance level alpha 0.01,
What would be the conclusion of this hypothesis test?
Reject the...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
Ho: pA=0.3; pB=0.1; pC=0.4; pD=0.2
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
52
B
34
C
52
D
37
What is the chi-square test-statistic for this data? (2 decimal
places)
χ2=
What is the P-Value? (3 decimal places)
P-Value =
For significance level alpha 0.1,
What would be...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
HoHo :
pA=0.4pA0.4; pB=0.25pB0.25; pC=0.25pC0.25; pD=0.1pD0.1
Complete the table. Report all answers accurate to two decimal
places, unless otherwise specified.
Category
Observed
Frequency
Expected
Frequency
A
39
B
18
C
30
D
7
What is the chi-square test-statistic for this data? (Round to two
decimal places)
χ2=χ2
What is the P-Value? (Round to four decimal places)
P-Value =
You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the...
You are conducting a multinomial Chi-Square Goodness of Fit
hypothesis test for the claim that the 4 categories occur with the
following frequencies:
HoHo : pA=0.1; pB=0.5; pC=0.1; pD=0.3
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
17
B
25
C
6
D
16
What is the chi-square test-statistic for this data?
χ2=
What is the P-Value?
P-Value =
You intend to conduct a goodness-of-fit test for a multinomial distribution with 5 categories. You collect...
You intend to conduct a goodness-of-fit test for a multinomial
distribution with 5 categories. You collect data from 73
subjects.
What are the degrees of freedom for the χ2 distribution for this
test?
df=
Test the following hypotheses by using the χ2 goodness of fit test. H0: pA = 0.2,...
Test the following hypotheses by using the χ2 goodness of fit
test.
H0: pA = 0.2, pB = 0.4, and pC = 0.4
Ha: The population proportions are not pA = 0.2, pB = 0.4, and
pC = 0.4
A sample of size 200 yielded 40 in category A, 120 in category
B, and 40 in category C. Use = .01 and test to see whether the
proportions are as stated in H0.
A) Use the p-value approach.
X^2_____
a.)...
Practice finding degrees of freedom for a Chi-square test. Goodness of fit categories - 1 Independence...
Practice finding degrees of freedom for a Chi-square test.
Goodness of fit
categories - 1
Independence
(rows -1)( columns -1)
Homogeneity
categories -1
Variance
n-1
To look up a p-value for Chi-Square test you need to know the
degrees of freedom.
A goodness of fit test has 7 categories. What degrees of freedom
do you use?
A test for homogeneity has 9 categories. What is the degrees of
freedom, d.f.?
A test for independence has 3 rows and 9 columns....
For a Chi-Squared Goodness of Fit Test about a distribution that has the following characteristics: Category...
For a Chi-Squared Goodness of Fit Test about a distribution that
has the following characteristics:
Category 1: 20%
Category 2: 30%
Category 3: 10%
Category 4: 15%
Category 5: 25%
complete the table and compute the test statistic.
Round to the fourth as needed.
Categories
Observed
Frequency
Expected
Frequency
1
123
2
205
3
75
4
116
5
164
Test Statistic =
What is evaluated by the chi-square test for goodness of fit? a. If proportions of a...
What is evaluated by the chi-square test for goodness of
fit?
a. If proportions of a sample distribution match those of a
population specified by the null hypothesis
b. If the frequencies found within an individual category match
a certain shape
c. Whether the means of two or more categories differ from one
another
d. Whether two variables are related to each other or
independent
Which of the following statements is true in the context of a chi-square goodness-of-fit test? Select...
Which of the following statements is true in the context of a
chi-square goodness-of-fit test?
Select one:
a. The critical value will come from the standard normal table
if the sample size exceeds 30. b. The degrees of freedom for
determining the critical value will be the number of categories
minus 1. c. A very large test statistic will result in the null not
being rejected. d. The null hypothesis will be rejected for a small
value of the test...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 31 minutes ago
asked 35 minutes ago
asked 39 minutes ago
asked 45 minutes ago
asked 50 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago