Question

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. The degrees of freedom are?

A variance is tested with 13 data values. What is the degrees of freedom?

Answer #1

**A goodness of fit test has 7 categories. What degrees of
freedom do you use?**

Answer. degree of freedom= categories-1=7-1=6

**d.f.=6**

**A test for homogeneity has 9 categories. What is the
degrees of freedom, d.f.?**

d.f.=categories-1= 9-1 = 8

**d.f.=8**

**A test for independence has 3 rows and 9 columns. The
degrees of freedom are?**

d.f.=(rows-1)*(columns-1)=(3-1)*(9-1)=2*8=16

**d.f.=16**

**A variance is tested with 13 data values. What is the
degrees of freedom?**

d.f.=n-1=13-1=12

**d.f.=12**

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?
_____________

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 =...

The number of degrees of freedom associated with a chi-square
test for independence based upon a contingency table with 4 rows
and 3 columns is _____.
6
5
12
7

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...

The same formula is used to calculate the chi-square statistic
in the chi-square test for goodness-of-fit and the chi-square test
of independence. Which calculation differs along the way for these
two tests?

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...

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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