Question

PLEASE ANSWER ALL QUESTIONS !

1.

When performing a Chi-Square test, what is the critical value between the accept and reject regions for a test with 5 classes and 25 observations at the 5% level of significance?

Select one:

a. 11.070

b. 2.87

c. 2.60

d. 9.488

2. True or False: A hypothesis is a statement about a population developed for the purpose of testing.

Select one:

True

False

3. If you ACCEPT the null hypothesis while performing a Chi-Square test, then:

Select one:

a. There is a significant difference between the observed and expected frequencies.

b. There is no significant difference between the observed and expected frequencies.

4. What is our decision for a goodness of fit test with a computed chi-square value of 8.73 and a critical value of 11.345?

Select one:

a. We should take a larger sample.

b. Reject the null hypothesis.

c. Do not reject the null hypothesis.

d. We are unable to accept or reject the null hypothesis based on the data.

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

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?

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...

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...

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.

For a one-tail (lower) hypothesis test, if the z- or t-test
statistic exceeds the critical value, we do not reject the null
hypothesis.
Select one:
True
False

Interpreting Chi Square Goodness of Fit
(Please use the attached document, bold the questions, and
include your answers in non-bolded font).
A child psychologist observed that in a random sample of 60
toddlers, 27 preferred to play with
masculine toys, 19 preferred to play with feminine toys and 14
preferred to play with gender
neutral toys.
A chi-square test of the null hypothesis is provided below:
CATEGORY
Observed N
Expected N
Residual
Masculine Toys
27
20
7
Feminine Toys
19...

The P-value for a chi-square test is always one-tailed. This is
true because of all of the following reasons, EXCEPT:
Group of answer choices
Observed data that is either higher or lower than the null
hypothesis predicts will result in a positive chi-square value.
Only a large positive value of chi-square provides
stronger evidence to conclude HA.
A chi-square distribution is skewed.
The chi-square statistic is always positive, unlike a z
or t statistic which can be ether positive or...

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

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