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 = 0.01 level of significance. Category 1 Category 2 Category 3 39 83 47 Failures Successes 30 65 38 Click the icon to view the Chi-Square table of critical values.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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 = 0.01 level of significance.
Category 1 Category 2 Category 3
Failures
39
83
47
Successes
30
65
38
Click the icon to view the Chi-Square table of critical values.
State the hypotheses. Choose the correct answer below.
OA. Ho: The categories of the variable and success and failure are independent.
H₁: The categories of the variable and success and failure are dependent.
OB. Ho: The categories of the variable and success and failure are dependent.
H₁: The categories of the variable and success and failure are independent.
C. Ho: P1 P2 P3
H₁: At least one of the proportions is different from the others.
OD. Ho: H₁=E₁ and μ₂ = E₂ and μ3 = E3
H₁: At least one mean is different from what is expected.
Compute the value of the chi-square test statistic.
xo
(Round to three decimal places as needed.)
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 = 0.01 level of significance. Category 1 Category 2 Category 3 Failures 39 83 47 Successes 30 65 38 Click the icon to view the Chi-Square table of critical values. State the hypotheses. Choose the correct answer below. OA. Ho: The categories of the variable and success and failure are independent. H₁: The categories of the variable and success and failure are dependent. OB. Ho: The categories of the variable and success and failure are dependent. H₁: The categories of the variable and success and failure are independent. C. Ho: P1 P2 P3 H₁: At least one of the proportions is different from the others. OD. Ho: H₁=E₁ and μ₂ = E₂ and μ3 = E3 H₁: At least one mean is different from what is expected. Compute the value of the chi-square test statistic. xo (Round to three decimal places as needed.)
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