Question

Write a sample research question where the chi-square test of independence would be the most appropriate statistical technique to use?

Answer #1

Sample research question where the chi - square test of independance would be the most approprite statistical technique to use:

Research question:

Is the Party Affiliation and Opinion on Tax Reform are independent?

EXPLANATION:

Here, the chi-square test of indepence is most appropriate
bcause:

The variables are categorical.

The Population parameters are unknown,. So, the test should be a
non-paramtric test.

H0: In thepopulation, the two categorical variables are indpendent

HA:In the population, the two categorical variablesare dependent.

The Observed Data is given in the form of Contigency Table as follows:

Favor | Indifferent | Oppose | Total | |

Democrat | ||||

Republican | ||||

Total |

Choose the most appropriate answer to fill in the blank. The
chi-square test for independence requires ________ data.
Select one:
a. continuous
b. count
c. normal
d. very little

create an example to which the chi-square test of independence
could be applied. Address the following:
Identify two categorical variables for which a chi-square test
of independence could be conducted.
Describe the categories of each.
Explain why these would be appropriate for this test.
Predict whether or not the chi-square test result would be
significant, and what this would imply about the variables.

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...

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...

*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 =...

Chi-Square Test for Independence
Using Chi-Square, we are looking to see if there is a
significant difference between what we would expect results to be,
and what the actual results were. That is, expected vs.
observed. Use alpha = .05
Listed below are data from a survey conducted recently where
Males and Females responded to their happiness with their
supervisor (this is fictitious data).
Response
Male
Female
Total
Not at all
23
25
48
Somewhat
13
22
35
Very
26...

For the following experiment/question, pick the most appropriate
statistical test. You have the following statistical tests as
choices: some may be used more than once, others not at
all. Assume homogeneity of variance (where
applicable) and the validity of parametric tests (where
applicable), unless something is directly stated (e.g., “the data
are not at all normal”) or otherwise indicated (viz., by the
inspection of the data) which would indicate a strong and obvious
violation of an assumption. This means you must...

For the following experiment/question, pick the most appropriate
statistical test. You have the following statistical tests as
choices: some may be used more than once, others not at all. Assume
homogeneity of variance (where applicable) and the validity of
parametric tests (where applicable), unless something is directly
stated (e.g., “the data are not at all normal”) or otherwise
indicated (viz., by the inspection of the data) which would
indicate a strong and obvious violation of an assumption. This
means you...

For the following experiment/question, pick the most appropriate
statistical test. You have the following statistical tests as
choices: some may be used more than once, others not at
all. Assume homogeneity of variance (where
applicable) and the validity of parametric tests (where
applicable), unless something is directly stated (e.g., “the data
are not at all normal”) or otherwise indicated (viz., by the
inspection of the data) which would indicate a strong and obvious
violation of an assumption. This means you must...

Problem Set 5.4: Alternative to Chi-Square as a Test of
Independence
Criterion: Identify an alternative to
chi-square as a test of independence.
Data: A chi-square test of independence could
be used to examine the relationship between overhead light
preference (on or off) and glasses use (wearing or not
wearing).
Instruction: Answer this: What other type of
test could be used to measure this data? Explain. (hint: the answer
is NOT fishers exact test)

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