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Failures Successes Category 1 Category 2 Category 3 39 55 59 55 24 55 A. Ho: The categories of the variable and success and failure are dependent. H₁: The categories of the variable and success and failure are independent. B. Ho: P₁ P2 P3 H₁: At least one of the proportions is different from the others. hat is the P-value? O C. Ho: The categories of the variable and success and failure are independent. H₁: The categories of the variable and success and failure are dependent. D. Ho: H₁ E₁ and ₂ =E₂ and μ3 = E3 H₁: At least one mean is different from what is expected. ***

Failures Successes Category 1 Category 2 Category 3 39 55 59 55 24 55 A. Ho: The categories of the variable and success and failure are dependent. H₁: The categories of the variable and success and failure are independent. B. Ho: P₁ P2 P3 H₁: At least one of the proportions is different from the others. hat is the P-value? O C. Ho: The categories of the variable and success and failure are independent. H₁: The categories of the variable and success and failure are dependent. D. Ho: H₁ E₁ and ₂ =E₂ and μ3 = E3 H₁: At least one mean is different from what is expected. ***

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the x = 0.1 level of significance. Category 1 Category 2 Category 3 39 55 55 59 24 55 Failures Successes A. Ho: The categories of the variable and success and failure are dependent. H₁: The categories of the variable and success and failure are independent. O B. Ho: P₁ P2 = P3 H₁: At least one of the proportions is different from the others. O C. Ho: The categories of the variable and success and failure are independent. H₁: 1: The categories of the variable and success and failure are dependent. D. Ho: μ₁=E₁ and µ₂ = ₂ and µ3 = E3 H₁: At least one mean is different from what is expected. What is the P-value? (Round to three decimal places as needed.) What conclusion can be made? O A. The P-value is less than α, so do not reject Hō. There is not sufficient evidence that the categories of the variable and success and failure are dependent. B. The P-value is greater than or equal to x, so do not reject Ho. There is sufficient evidence that the categories of the variable and success and failure are dependent. OC. The P-value is greater than or equal to α, so reject Ho. There is not sufficient evidence that the proportions are different from each other. D. The P-value is less than a, so reject Ho. There is sufficient evidence that the proportions are different from each other.
Transcribed Image Text:The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the x = 0.1 level of significance. Category 1 Category 2 Category 3 39 55 55 59 24 55 Failures Successes A. Ho: The categories of the variable and success and failure are dependent. H₁: The categories of the variable and success and failure are independent. O B. Ho: P₁ P2 = P3 H₁: At least one of the proportions is different from the others. O C. Ho: The categories of the variable and success and failure are independent. H₁: 1: The categories of the variable and success and failure are dependent. D. Ho: μ₁=E₁ and µ₂ = ₂ and µ3 = E3 H₁: At least one mean is different from what is expected. What is the P-value? (Round to three decimal places as needed.) What conclusion can be made? O A. The P-value is less than α, so do not reject Hō. There is not sufficient evidence that the categories of the variable and success and failure are dependent. B. The P-value is greater than or equal to x, so do not reject Ho. There is sufficient evidence that the categories of the variable and success and failure are dependent. OC. The P-value is greater than or equal to α, so reject Ho. There is not sufficient evidence that the proportions are different from each other. D. The P-value is less than a, so reject Ho. There is sufficient evidence that the proportions are different from each other.
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