Question

In a Chi-Square Independence test the test statistic is 1.88 and the critical value is 3.84. Which of the following can we conclude?

Reject H0 and conclude that the variables are related |
||

Reject HO and conclude that the variables are not related |
||

Not reject H0 and conclude that the variables are related |
||

Not reject H0 and conclude that the variables are not related |

Answer #1

**Solution:**

Given: In a Chi-Square Independence test the test statistic is 1.88 and the critical value is 3.84.

Hypothesis for Chi-Square test of Independence are:

H0: Two variables/Attributes are independent or not related.

Vs

H1: Two variables/Attributes are not independent or related.

Rejection Rule: Reject null hypothesis H0, if Chi-square test statistic value > Chi-square critical value, otherwise we fail to reject null hypothesis H0.

Since Chi-square test statistic value = 1.88 < Chi-square critical value = 3.84, we failed to reject null hypothesis H0.

Thus correct option is fourth option:

**Not reject H0 and conclude that the variables are not
related**

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...

If the computed value of a chi-square
statistic is less than the critical chi-square value, reject the
null hypothesis at a predetermined Type I error rate.
ANSWER: FALSE
WHY IS THE ANSWER TO THIS FALSE? WHAT
IS THE EXPLANATION?

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.

Given the following contingency table, conduct a test for
independence at the 1% significance level. (You may find it
useful to reference the appropriate table: chi-square table or F
table)
Variable A
Variable B
1
2
1
38
43
2
32
62
a. Choose the null and alternative hypotheses.
H0: The two variables are independent.;
HA: The two variables are dependent.
H0: The two variables are dependent.;
HA: The two variables are independent.
b. Calculate the value of the test...

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?

Chapter 18
Chi-square – Test of Independence
Certain editors at Sage like to think they’re a bit of a
whiz at soccer. To see how well they play compared with Sussex
lecturers and postgraduates, we invited various employees of Sage
to join in our soccer matches. Every player was allowed only to
play in one match. Over many matches, we counted the number of
players that scored goals. After running a chi-square test of
independence, determine whether or not the...

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?

A chi-square test for independence is being used to evaluate the
relationship between two variables. If the test has df = 3, what
can you conclude about the two variables?
One variable consists of 2 categories and the other consists of
3 categories
One variable consists of 2 categories and the other consists of
4 categories
Both variables consists of 2 categories
Both variables consists of 3 categories

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...

create an assignment about :
Chi-Square Independence test

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