Question

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 | 33 | 50 | |||

2 | 45 | 50 | |||

**b.** Calculate the value of the test statistic.
**(Round intermediate calculations to at least 4 decimal
places and final answer to 3 decimal places.)**

Answer #1

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...

You are conducting a test of independence for the claim that
there is an association between the row variable and the column
variable.
X
Y
Z
A
53
43
28
B
33
35
7
The expected observations for this table would be
X
Y
Z
A
B
What is the chi-square test-statistic for this data? (2
decimals)
χ2=
Report all answers accurate to two decimal places.

You are conducting a test of independence for the claim that
there is an association between the row variable and the column
variable.
X
Y
Z
A
53
43
28
B
33
35
7
The expected observations for this table would be
X
Y
Z
A
B
What is the chi-square test-statistic for this data? (2
decimals)
χ2=
Report all answers accurate to two decimal places.

You are conducting a test of independence for the claim that
there is an association between the row variable and the column
variable.
X
Y
Z
A
33
37
41
B
36
44
15
The expected observations for this table would be
X
Y
Z
A
B
What is the chi-square test-statistic for this data? (2
decimals)
χ2=
Report all answers accurate to two decimal places.

. Given the following contingency table (using a significance
level of 0.05), and assuming the value of the test statistic is
7.135, test for independence between marital status and grade.
A
B
C
D
F
DIVORCED
39
19
12
28
18
NEVER
172
61
44
70
37

Given contingency table for simultaneous occurance of two
categorical random variables X (levels A,B,C) and Y (levels
L1,L2,L3)
L1
L2
L3
A
20
40
20
B
40
30
15
C
45
50
30
Determine the marginal probability P ( Y = L 1 )
= (round to the third decimal place)
Determine the conditional probability P ( X = A | Y = L 1 )
= (round to the second decimal place)
Use R to conduct a chi-square test of independence...

Suppose you are conducting a test of independence for two
categorical variables in a contingency table
(cross-tabulation) consisting of three rows. If the critical value
at the 1% level of significance is 23.209.
How many columns were in the contingency table?

Consider a multinomial experiment with n = 307 and
k = 4. The null hypothesis to be tested is
H0: p1 =
p2 = p3 =
p4 = 0.25. The observed frequencies resulting
from the experiment are: (You may find it useful to
reference the appropriate table: chi-square tableor F
table)
Category
1
2
3
4
Frequency
85
58
89
75
b-1. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final...

not hand Writing
please
1. Define the following terms:
A. Contingency table
B. Chi-square test
2. List the assumptions required to perform a chi-square
test?

When performing a
chi squaredχ2
test for independence in a contingency table with r rows and c
columns determine the upper-tail critical value of the test
statistic in each of the following circumstances.
a. a=0.05, r=4, c=3
b. a= 0.01, r=5, c=6
c. a=0.01, r=5, c=4
d. a=0.01, r=3, c=4
e. a=0.01, r=4. c=5

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