Question

in performing a chi-square goodness of fit test for a normal distribution, a researcher wants to make sure that all of the expected cell frequencies are at least five. the sample is divided into 7 intervals. thw seco d through the sixth intervals all have expected cell frequencies of at least five. the first and the last interval have expected cell frequencies of 1.5 each. after adjusting the number of intervals, the freedom for the chi-square statistic is

Answer #1

In performing a chi-square goodness-of-fit test with multinomial
probabilities, the ___________ the difference between observed and
expected frequencies, the higher the probability of concluding that
the probabilities specified in the null hypothesis are correct.
larger
smaller

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 =...

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 =

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?

The
chi-square goodness-of-fit test is used to determine whether
observed frequencies significantly deviate from expected
frequencies. In most instances, the researcher hopes to find a
significant result (indicating that the observations deviate from
expectations), which would provide some evidence for a treatment
effect.
• Share an example of a situation in which the researcher
might hope for a non-significant result. Be sure to state why they
would hope for such a result.
(Type Answer & Explain your example)

A
chi-square goodness of
fit test determines whether a set of observed frequencies
differs from a set of ______ frequencies.
Select one:
a. independent.
b. obtained.
c. expected.
d. constant.

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...

1.
The test statistic for goodness of fit has a chi-square
distribution with k - 1 degrees of freedom provided that
the expected frequencies for all categories are
a.
k or more.
b.
10 or more.
c.
5 or more.
d.
2k.
2. The owner of a car wash wants to see if the arrival rate of
cars follows a Poisson distribution. In order to test the
assumption of a Poisson distribution, a random sample of 150
ten-minute intervals was...

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?
_____________

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