Question

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 | 14 | 35 | 25 |

B | 3 | 35 | 53 |

Give all answers rounded to **3 places after the decimal
point**, if necessary.

(a) Enter the **expected frequencies** below:

X | Y | Z | |
---|---|---|---|

A | |||

B |

(b) What is the chi-square **test-statistic** for
this data?

Test Statistic: χ2=____

(c) What is the **critical value** for this test of
independence when using a significance level of αα = 0.10?

Critical Value: χ2=_____

(d) What is the correct conclusion of this hypothesis test at the 0.10 significance level?

- There
**is**sufficient evidence to**support**the claim that the row and column variables are dependent. - There is
**not**sufficient evidence to**support**the claim that the row and column variables are dependent. - There is
**not**sufficient evidence to warrant**rejection**of the claim that the row and column variables are dependent. - There
**is**sufficient evidence to warrant**rejection**of the claim that the row and column variables are dependent.

Answer #1

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
26
23
32
B
25
31
32
Give all answers rounded to 3 places after the decimal
point, if necessary.
(a) Enter the expected frequencies below:
X
Y
Z
A
B
(b) What is the chi-square test-statistic for
this data?
Test Statistic: χ2=χ2=
(c) What is the critical value for this test...

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
14
44
18
B
30
55
17
Give all answers rounded to 3 places after the decimal
point, if necessary.
(a) Enter the expected frequencies below:
X
Y
Z
A
B
(b) What is the chi-square test-statistic for
this data?
Test Statistic: χ2=
(c) What is the critical value for this test...

Please show using TI-83
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
28
15
41
B
72
5
31
Give all answers rounded to 3 places after the decimal
point, if necessary.
(a) Enter the expected frequencies below:
X
Y
Z
A
B
(b) What is the chi-square test-statistic for
this data?
Test Statistic: χ2=χ2=
(c) What is the critical...

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
38
2
42
B
43
17
30
Give all answers rounded to 3 places after the decimal
point, if necessary.
Enter the expected frequencies below:
X
Y
Z
A
B
(b) What is the chi-square test-statistic for
this data?
Test Statistic: χ2=

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
29
41
28
B
20
34
46
The expected observations for this table would be
X
Y
Z
A
B
The resulting Pearson residuals are:
X
Y
Z
A
B
What is the chi-square test-statistic for this data?
χ2=χ2=
Report all answers accurate to three decimal places.

Use a χ2 test to test the claim that in the given contingency
table, the row variable and the column variable are independent.
Responses to a survey question are broken down according to gender
and the sample results are given below. At the 0.05 significance
level, test the claim that response and gender are independent.
male: 25, 50,15
female: 20,30,10
test statistic
critical value
accept or reject

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
30
34
21
B
40
35
21
What is the chi-square test-statistic for this data?

You wish to test the claim that the population proportion is not
equal to 0.73 at a significance level of α=0.10α=0.10.
You obtain a sample of size 156 in which there are 106 successful
observations.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
The test statistic is...
in the critical region...

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