Consider the 2x3 (ie, r=2 and c=3) contingency table shown to the right Complete parts a through d a. Specify the null and alternative hypotheses that should be used in testing the independence of the row and column classifications. Choose the correct answer below OA. H₂: The row and column classifications are equal. H.: The row and column classifications are not equal. OC. H₂: The row and column classifications are independent H.: The row and column classifications are dependent. b. Specify the test statistic and the rejection region that should be used in conducting the hypothesis test of part a. Use a=0.01. Choose the correct test statistic below. OA The test statistic is Σ [N-E]² E₁₁ OC. The test statistic iss/√n Choose the correct rejection region below. OA. The rejection region is ² > 11.3449. 15.0863 OB. The rejection region is OC. The rejection region is ²> 9.21034. OD. The rejection region is ² >10.5966. c. Assuming the row classification and the column classification are independent, find estimates for the expected cell counts. E₁=[ (Round to three decimal places as needed.) E₁2=C (Round to three decimal places as needed.) E₁3= (Round to three decimal places as needed.) (Round to three decimal places as needed.) E₂₁ = [ E22 = (Round to three decimal places as needed.) E₂= (Round to three decimal places as needed.) d. Conduct the hypothesis test of part a. Interpret your result The test statistic is (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Do not reject H₂. There is insufficient evidence to indicate the row and column classifications are dependent. OB. Do not reject H₂. There is sufficient evidence to indicate the row and column classifications are dependent OC. Reject H.. There is insufficient evidence to indicate the row and column classifications are dependent OD. Reject H.. There is sufficient evidence to indicate the row and column classifications are dependent OB. H.: The row and column classifications are not equal. H.: The row and column classifications are equal. ⒸD. H.: The row and column classifications are dependent H: The row and column classifications are independent OB The test statistic is Σ +[n-E(n)] E(n.) OD. i-p The test statisticis alyn

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Row
1
2
1
11
13
COLUMN
2
33
25
3
50
21
Transcribed Image Text:Row 1 2 1 11 13 COLUMN 2 33 25 3 50 21
6. Consider the 2x3 (i.e., r= 2 and c=3) contingency table shown to the right. Complete parts a through d.
a. Specify the null and alternative hypotheses that should be used in testing the independence of the row and column classifications. Choose the correct answer below.
O A. Ho: The row and column classifications are equal.
H₂: The row and column classifications are not equal.
O C. Ho: The row and column classifications are independent.
H₂: The row and column classifications are dependent.
b. Specify the test statistic and the rejection region that should be used in conducting the hypothesis test of part a. Use α=0.01. Choose the correct test statistic below.
O A.
[n-Ej]²
The test statistic is
OC.
The test statistic is
x-μ
s/√n
Choose the correct rejection region below.
OA. The rejection region is x² > 11.3449.
OB. The rejection region is ² > 15.0863.
O C. The rejection region is ²> 9.21034.
O D. The rejection region is x² > 10.5966.
c. Assuming the row classification and the column classification are independent, find estimates for the expected cell counts.
(Round to three decimal places as needed.)
E₁₁1=
E₁2
(Round to three decimal places as needed.)
E13=
(Round to three decimal places as needed.)
E₂1=
(Round to three decimal places as needed.)
E22=
(Round to three decimal places as needed.)
E23=
(Round to three decimal places as needed.)
d. Conduct the hypothesis test of part a. Interpret your result.
The test statistic is x² =
(Round to three decimal places as needed.)
Choose the correct conclusion below.
O A. Do not reject Ho. There is insufficient evidence to indicate the row and column classifications are dependent.
O B. Do not reject Ho. There is sufficient evidence o indicate the row and column classifications are dependent.
O C. Reject Ho. There is insufficient evidence to indicate the row and column classifications are dependent.
O D. Reject Ho. There is sufficient evidence to indicate the row and column classifications are dependent.
O B. Ho: The row and column classifications are not equal.
H: The row and column classifications are equal.
O D. Ho: The row and column classifications are dependent.
H₂: The row and column classifications are independent.
O B.
The test statistic is Σ
[n-E(n)]
E(n₁)
O D.
The test statistic is
x-μ
o/√n
Transcribed Image Text:6. Consider the 2x3 (i.e., r= 2 and c=3) contingency table shown to the right. Complete parts a through d. a. Specify the null and alternative hypotheses that should be used in testing the independence of the row and column classifications. Choose the correct answer below. O A. Ho: The row and column classifications are equal. H₂: The row and column classifications are not equal. O C. Ho: The row and column classifications are independent. H₂: The row and column classifications are dependent. b. Specify the test statistic and the rejection region that should be used in conducting the hypothesis test of part a. Use α=0.01. Choose the correct test statistic below. O A. [n-Ej]² The test statistic is OC. The test statistic is x-μ s/√n Choose the correct rejection region below. OA. The rejection region is x² > 11.3449. OB. The rejection region is ² > 15.0863. O C. The rejection region is ²> 9.21034. O D. The rejection region is x² > 10.5966. c. Assuming the row classification and the column classification are independent, find estimates for the expected cell counts. (Round to three decimal places as needed.) E₁₁1= E₁2 (Round to three decimal places as needed.) E13= (Round to three decimal places as needed.) E₂1= (Round to three decimal places as needed.) E22= (Round to three decimal places as needed.) E23= (Round to three decimal places as needed.) d. Conduct the hypothesis test of part a. Interpret your result. The test statistic is x² = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Do not reject Ho. There is insufficient evidence to indicate the row and column classifications are dependent. O B. Do not reject Ho. There is sufficient evidence o indicate the row and column classifications are dependent. O C. Reject Ho. There is insufficient evidence to indicate the row and column classifications are dependent. O D. Reject Ho. There is sufficient evidence to indicate the row and column classifications are dependent. O B. Ho: The row and column classifications are not equal. H: The row and column classifications are equal. O D. Ho: The row and column classifications are dependent. H₂: The row and column classifications are independent. O B. The test statistic is Σ [n-E(n)] E(n₁) O D. The test statistic is x-μ o/√n
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