Question
In: Statistics and Probability
The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A...
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The following table contains observed frequencies for a sample of 200.
Test for independence of the row and column variables using a=.05. Compute the value of the test statistic (to 2 decimals). The -value is - Select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10 What is your conclusion? - Select your answer -Cannot reject the assumption that rows and columns are independent Conclude the row variable and column variable are not independent |
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Solutions
Expert Solution
the necessary calculation table be:-
| row variable | A | B | C | total | |
| P | observed frequency(Oi) | 40 | 48 | 45 | 133 |
| expected frequency(Ei) |
(50*133)/200 = 33.25 |
46.55 | 53.20 | ||
 |
1.3703 | 0.0452 | 1.2639 | ||
| Q | observed frequency(Oi) | 10 | 22 | 35 | 67 |
| expected frequency(Ei) | 16.75 | 23.45 | 26.80 | ||
|
2.7201 | 0.0897 | 2.5090 | ||
| column total of observed frequency | 50 | 70 | 80 |
hypothesis:-
the row and column variables are independent.
the row and column variables are not independent.
the test statistic be:-
The p-value is :- between 0.01 and 0.025
[ df = (3-1)*(2-1)= 2
fro chi square table for df =2,chi square = 8.00 ]
my conclusion is:-
Conclude the row variable and column variable are not independent.
[ p value < 0.025 < 0.05 (alpha).
so we reject our null hypothesis.]
***in case of doubt, comment below. And if u liked the solution, please like.
orchestra answered 2 years agoRelated Solutions
The following table contains observed frequencies for a sample of 200. Row Variable Column Variable A...
The following table contains observed frequencies for a sample
of 200.
Row
Variable
Column Variable
A
B
C
P
16
40
46
Q
34
30
34
Test for independence of the row and column variables using
α = 0.05.
State the null and alternative hypotheses.
H0: Variable P is not independent of
variable Q. Ha: Variable P is independent of
variable Q.
H0: Variable P is independent of variable
Q.Ha: Variable P is not independent of variable
Q.
H0: The...
The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A...
The following table contains observed frequencies for a sample
of 200.
Column
Variable
Row Variable
A
B
C
P
20
45
50
Q
30
26
29
Test for independence of the row and column variables
using α = .05.
Compute the value of the Χ 2 test statistic (to
2 decimals).
The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A...
The following table contains observed frequencies for a sample
of 200.
Column Variable
Row Variable
A
B
C
P
20
44
50
Q
30
26
30
Test for independence of the row and column variables using a=
.05
Compute the value of the test statistic (to 2
decimals).
Consider the following contingency table of observed frequencies. Complete parts a. through d. below. Column Variable...
Consider the following contingency table of observed
frequencies. Complete parts a. through d. below.
Column Variable
Row Variable
C1
C2
C3
R1
7
6
9
R2
11
9
8
a. Identify the null and alternative hypotheses for a
chi-square test of independence with based on the information in
the table. This test will have a significance level of
α=0.05.
Choose the correct answer below.
A.
H0:
The variables
R1,
R2,
C1,
C2,
and
C3
are independent.
H1:
At least one...
Consider the following contingency table of observed frequencies. Complete parts a. through e. below. Column Variable...
Consider the following contingency table of observed
frequencies. Complete parts a. through e. below.
Column Variable
Row Variable
Upper C 1C1
Upper C 2C2
Upper C 3C3
Upper R 1R1
2020
77
1818
Upper R 2R2
88
88
1313
Upper R 3R3
88
1616
6
Click the icon to view the contingency table.a. Identify the
null and alternative hypotheses for a chi-square test of
independence based on the information in the table. This test will
have a significance level of...
What are expected vs. observed frequencies? How are they computed? What are row and column marginals?...
What are expected vs. observed frequencies? How are they
computed?
What are row and column marginals?
What values can the chi square test statistic take on? Describe
the sampling distribution for chi square.
How do you calculate degrees of freedom in chi square? In a 2x2
table, if one cell frequency is known, what else can you find?
Use a x2 test to test the claim that in the given contingency table, the row variable and the column variable are independent.
Use a x2 test to test the claim that in the given contingency table, the row variable and the column variable are independent. 1) Use the sample data below to test whether car color affects the likelihood of being in an 1) accident. Use a significance level of 0.01
You are conducting a test of the claim that the row variable and the column variable...
You are conducting a test of the claim that the row variable and
the column variable are dependent in the following contingency
table.
X
Y
Z
A
20
46
44
B
20
36
26
Give all answers rounded to 3 places after the decimal
point, if necessary.
(a) Enter the expected frequencies below:
X
Y
Z
A
B
To find the expected frequencies:
Enter the observed matrix into the calculator, per the
Technology Corner.
Perform the test, per the Technology...
You are conducting a test of the claim that the row variable and the column variable...
You are conducting a test of the claim that the row variable and
the column variable are dependent in the following contingency
table.
X
Y
Z
A
19
37
29
B
18
39
34
Give all answers rounded to 3 places after the decimal
point, if necessary.
(a) Enter the expected frequencies below:
X
Y
Z
A
B
To find the expected frequencies:
Enter the observed matrix into the calculator, per the
Technology Corner.
Perform the test, per the Technology...
You are conducting a test of the claim that the row variable and the column variable...
You are conducting a test of the claim that the row variable and
the column variable are dependent in the following contingency
table.
X
Y
Z
A
46
33
49
B
33
14
38
Give all answers rounded to 3 places after the decimal
point, if necessary.
(a) Enter the expected frequencies below:
X
Y
Z
A
B
To find the expected frequencies:
Enter the observed matrix into the calculator, per the
Technology Corner.
Perform the test, per the Technology...
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