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table in variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. (a) Compute the value of the chi-square test statistic z (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a 0.01 level of significance OA. HE, and , *E, H:, *E, or, *E, OB. Ho The Y category and X category are independent. H₁ The Y category and X category are dependent OC. H: The Y category and X category are dependent. H₁: The Y category and X category are independent. OD. Ho The Y category and X category have equal proportions H: The proportions are not equal Y₁ M₂ X₂ 34 (35.44) 42.5351.03) 16 20 17 (14 5617 4720.97) X₂ 40 X₂ 55

table in variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. (a) Compute the value of the chi-square test statistic z (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a 0.01 level of significance OA. HE, and , *E, H:, *E, or, *E, OB. Ho The Y category and X category are independent. H₁ The Y category and X category are dependent OC. H: The Y category and X category are dependent. H₁: The Y category and X category are independent. OD. Ho The Y category and X category have equal proportions H: The proportions are not equal Y₁ M₂ X₂ 34 (35.44) 42.5351.03) 16 20 17 (14 5617 4720.97) X₂ 40 X₂ 55

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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What is the P-value? P-value = (Round to three decimal places as needed.) Should the null hypothesis be rejected? OA. No, do not reject Ho. There is sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value <a. OB. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value <a. OC. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value> a OD. No, do not reject Ho. There is not sufficient evidence at the a=0.01 level of significance to conclude that X and Y are dependent because the P-value>a.
Transcribed Image Text:What is the P-value? P-value = (Round to three decimal places as needed.) Should the null hypothesis be rejected? OA. No, do not reject Ho. There is sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value <a. OB. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value <a. OC. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value> a OD. No, do not reject Ho. There is not sufficient evidence at the a=0.01 level of significance to conclude that X and Y are dependent because the P-value>a.
The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. (a) Compute the value of the chi-square test statistic x-(Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a 0.01 level of significance OA. H: "E, and p, Ey H:, *E, of Ey OB. Ho The Y category and X category are independent. H₁ The Y category and X category are dependent. OC. H: The Y category and X category are dependent. H,: The Y category and X category are independent. OD. Ho The Y category and X category have equal proportions. H: The proportions are not equal. Y₁ Y₂ X₁ X₂ x₂ 34 55 40 (35.44)(42.5351.03) 16 20 17 (14.56) (17 4720 97
Transcribed Image Text:The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. (a) Compute the value of the chi-square test statistic x-(Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a 0.01 level of significance OA. H: "E, and p, Ey H:, *E, of Ey OB. Ho The Y category and X category are independent. H₁ The Y category and X category are dependent. OC. H: The Y category and X category are dependent. H,: The Y category and X category are independent. OD. Ho The Y category and X category have equal proportions. H: The proportions are not equal. Y₁ Y₂ X₁ X₂ x₂ 34 55 40 (35.44)(42.5351.03) 16 20 17 (14.56) (17 4720 97
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