Question

For a chi-square goodness-of-fit test,

- what is the number of degrees of freedom, if the number of categories in the distribution is 9? ______________
- what is the critical value for a 1% level of significance? _____________

Answer #1

TOPIC:Chi-square goodness-of-fit test.

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....

QUESTION 1
The number of degrees of freedom for the appropriate chi-square
distribution in goodness of fit test is
A
n − 1
B
(r-1)(c-1)
C
a chi-square distribution is not used
D
k − 1
QUESTION 2
A goodness of fit test and test of independence is always
conducted as a
A
upper-tail test
B
left-tail test
C
middle test
D
lower-tail test
QUESTION 3
The number of degrees of freedom for the appropriate chi-square
distribution in a test...

For each of the following examples, state whether the chi-square
goodness-of-fit test or the chi-square test for independence is
appropriate, and state the degrees of freedom (df) for the
test.
Part (a)
A student tests whether the professor's speaking style (monotone,
dynamic) and student interest (low, average, high) are
independent.
State whether the chi-square goodness-of-fit test or the chi-square
test for independence is appropriate.
chi-square goodness-of-fitchi-square test for
independence
State the degrees of freedom for the test.
df =
Part...

*4.) For each of the following examples, state whether the
chi-square goodness-of-fit test or the chi-square test for
independence is appropriate, and state the degrees of freedom
(df) for the test.
Part (a)
An instructor tests whether class attendance (low, average, high)
and grade point average (low, average, high) are independent.
State whether the chi-square goodness-of-fit test or the chi-square
test for independence is appropriate.
chi-square goodness-of-fitchi-square test for
independence
State the degrees of freedom for the test.
df =...

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...

Which of the following statements is true in the context of a
chi-square goodness-of-fit test?
Select one:
a. The degrees of freedom for determining the critical value
will be the number of categories minus 1.
b. A very large test statistic will result in the null not being
rejected.
c. The null hypothesis will be rejected for a small value of the
test statistic.
d. The critical value will come from the standard normal table
if the sample size exceeds...

A chi-square test for goodness of fit is used to examine the
distribution of individuals across four categories, and a
chi-square test for independence is used to examine the
distribution of individuals across the six categories in a 2×3
matrix of categories. Which test has the larger value for df?
a. The test for goodness of fit
b. Both tests have the same df value.
c. The test for independence
d. The df value depends on the sizes of...

A)What is the critical value for a chi-square test with 12
degrees of freedom at the 5 percent level of significance?
B) If the chi-square test statistic were 18.549, what is your
conclusion regarding the null hypothesis?
C) What is your conclusion regarding the null hypothesis if the
chi-square value were 22.10?

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

How is the chi-square independence test similar to the
goodness-of-fit test? How is it different?
What is the difference between McMemar’s Test and the
Chi-squared test for 2 by 2 table.
Question 2
A clinic administers two drugs to two groups of randomly
assigned patients to cure the same disease: 70 patients received
Drug 1 and 80 patients received Drug 2. The following table gives
the information about the number of patients cured and the once not
cured by each...

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