Question

Please show using TI-83 You are conducting a test of the claim that the row variable...

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 value for this test of independence when using a significance level of αα = 0.05?
      Critical Value: χ2=χ2=  

(d) What is the correct conclusion of this hypothesis test at the 0.05 significance level?

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

Homework Answers

Answer #1

The statistical software output for this problem is :

Contingency table results:
Rows: var2
Columns: None

Cell format
Count
(Expected count)
X Y Z Total
A 28
(43.75)
15
(8.75)
41
(31.5)
84
B 72
(56.25)
5
(11.25)
31
(40.5)
108
Total 100 20 72 192

Chi-Square test:

Statistic DF Value P-value
Chi-square 2 23.109982 <0.0001

Test statistics = 23.110

Critical value = 5.991

There is sufficient evidence to warrant rejection of the claim that the row and column variables are dependent.

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