You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. XY Z A 17 20 39 B 8 36 35 Give all answers rounded to 3 places after the decimal point, if necessary. (a) What is the chi-square test-statistic for this data? Test Statistic: x² Enter the expected frequencies below: X Z A = B Y (b) What is the critical value for this test of independence when using a significance level of a = 0.05? Critical Value: x² = = (c) What is the correct conclusion of this hypothesis test at the 0.05 significance level? O There is sufficient evidence to support the claim that the row and column variables are dependent. O There is not sufficient evidence to support the claim that the row and column variables are dependent. O There is sufficient evidence to warrant rejection of the claim that the row and column variables are dependent. O There is not sufficient evidence to warrant rejection of the claim that the row and column variables are dependent.

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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
17 20 39
B 8 36 35
Give all answers rounded to 3 places after the decimal point, if necessary.
(a) What is the chi-square test-statistic for this data?
Test Statistic: x²
Enter the expected frequencies below:
A
B
X
Y
Z
(b) What is the critical value for this test of independence when using a significance level of a =
0.05?
Critical Value: x²
(c) What is the correct conclusion of this hypothesis test at the 0.05 significance level?
=
O There is sufficient evidence to support the claim that the row and column variables are
dependent.
O There is not sufficient evidence to support the claim that the row and column variables are
dependent.
O There is sufficient evidence to warrant rejection of the claim that the row and column
variables are dependent.
O There is not sufficient evidence to warrant rejection of the claim that the row and column
variables are dependent.
Remember to give all answers rounded to 3 places after the decimal point, if necessary.
Transcribed Image Text: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 17 20 39 B 8 36 35 Give all answers rounded to 3 places after the decimal point, if necessary. (a) What is the chi-square test-statistic for this data? Test Statistic: x² Enter the expected frequencies below: A B X Y Z (b) What is the critical value for this test of independence when using a significance level of a = 0.05? Critical Value: x² (c) What is the correct conclusion of this hypothesis test at the 0.05 significance level? = O There is sufficient evidence to support the claim that the row and column variables are dependent. O There is not sufficient evidence to support the claim that the row and column variables are dependent. O There is sufficient evidence to warrant rejection of the claim that the row and column variables are dependent. O There is not sufficient evidence to warrant rejection of the claim that the row and column variables are dependent. Remember to give all answers rounded to 3 places after the decimal point, if necessary.
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