Question

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?

Answer #1

A) What is the critical value for a chi-square test with 12 degrees of freedom at the 5 percent level of significance?

Solution:

We are given α = 0.05, df = 12

So by using Chi square table or excel, the critical value is given as below:

Critical value = 21.02607

B) If the chi-square test statistic were 18.549, what is your conclusion regarding the null hypothesis?

Test statistic = 18.549

Critical value = 21.02607

Test statistic < Critical value

So, we do not reject the null hypothesis

C) What is your conclusion regarding the null hypothesis if the chi-square value were 22.10?

Test statistic = 22.10

Critical value = 21.02607

Test statistic > Critical value

So, we reject the null hypothesis

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?
_____________

Determine (a) the χ2 test statistic, (b) the degrees
offreedom, (c) the critical value using alpha equals α=0.05,
and(d) test the hypothesis at the alpha equals α=0.05 level of
significance.
Outcome
A
B
C
D
Observed
48
52
51
49
Expected
50
50
50
50
Ho : Pa = Pb = Pc = Pd = 1/4
H1 : At least one proportions is different from the others.
a) The test statistic is
b) The degrees of freedom are one less...

Determine (a) the
chi squaredχ2
test statistic, (b) the degrees of freedom, (c) the critical
value using
alpha equals 0.05α=0.05,
and (d) test the hypothesis at the
alpha equals 0.05α=0.05
level of significance.
Outcome
A
B
C
D
Observed
101101
9999
109109
9191
Expected
100100
100100
100100
100100
Upper H 0H0:
p Subscript Upper ApAequals=p Subscript Upper BpBequals=p
Subscript Upper CpCequals=p Subscript Upper DpDequals=one
fourth14
H1:
At least one of the proportions is different from the
others.
(a) The test...

find the a=.05 critical value for the chi-square distribution with
8 degrees of freedom

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...

a) For the given degrees of freedom, larger values of the chi
square statistic are associated with ___________
answer options:
1) there is no relationship between chi-square values and
p-values 2) larger p-values 3)smaller p-values
b) Correlation analysis revealed r = -.72. What do we already
know about the regression slope or intercept?
answer options:
1) b > 0 2) a < 0 c)a > 0 d) b < 0
c) As sample size increases, what happens to the critical...

(1) Consider a Chi-square distribution with degrees of freedom,
df =7 I What is the mean?; II. the standard deviation, for this
distribution?
(2) Consider a Chi-square distribution for a categorical
variable with 4 levels. I. What is the degrees of freedom for this
distribution? II. The chi-square test statistic was calculated to
be 8.012. What is the p-value for this distribution?

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...

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

Determine if the statements below are true or false:
The chi-square distribution, just like the normal distribution,
has two parameters, mean and standard deviation.
The chi-square distribution is always right skewed, regardless
of the value of the degrees of freedom parameter.
The chi-square statistic is always positive.
As the degrees of freedom increases, the shape of the chi-square
distribution becomes more skewed.
"If you found χ2 = 10 with df = 5, you would fail to reject the
Null hypothesis...

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