MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 a = 0.01 level of significance.
Category 1
Category 2
Category 3 O
Failures
59
54
81
Successes
43
62
29
Click the icon to view the Chi-Square table of critical values.
State the hypotheses. Choose the correct answer below.
O A. Ho: P1 = P2 = P3
H,: At least one of the proportions is different from the others.
O B. 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 C. Ho: H1 = E, and µ2 = E2 and µ3 = E3
H1: At least one mean is different from what is expected.
%3D
%3D
O D. Ho: The categories of the variable and success and failure are independent.
H7:
: The categories of the variable and success and failure are dependent.
Compute the value of the chi-square test statistic.
(Round to three decimal places as needed.)
What range of P-values does the test statistic correspond to?
The P-value is
What conclusion can be made?
O A. The P-value is less than a, so reject Ho. There is sufficient evidence that the proportions are different from each other.
B. The P-value is less than a, so do not reject Ho. There is not sufficient evidence that the categories of the variable and success and failure are dependent.
O C. The P-value is greater than or equal to a, so do not reject Ho. There is sufficient evidence that the categories of the variable and success and failure are dependent.
O D. The P-value is greater than or equal to ɑ, so reject Ho. There is not sufficient evidence that the proportions are different from each other.
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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 a = 0.01 level of significance. Category 1 Category 2 Category 3 O Failures 59 54 81 Successes 43 62 29 Click the icon to view the Chi-Square table of critical values. State the hypotheses. Choose the correct answer below. O A. Ho: P1 = P2 = P3 H,: At least one of the proportions is different from the others. O B. 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 C. Ho: H1 = E, and µ2 = E2 and µ3 = E3 H1: At least one mean is different from what is expected. %3D %3D O D. Ho: The categories of the variable and success and failure are independent. H7: : The categories of the variable and success and failure are dependent. Compute the value of the chi-square test statistic. (Round to three decimal places as needed.) What range of P-values does the test statistic correspond to? The P-value is What conclusion can be made? O A. The P-value is less than a, so reject Ho. There is sufficient evidence that the proportions are different from each other. B. The P-value is less than a, so do not reject Ho. There is not sufficient evidence that the categories of the variable and success and failure are dependent. O C. The P-value is greater than or equal to a, so do not reject Ho. There is sufficient evidence that the categories of the variable and success and failure are dependent. O D. The P-value is greater than or equal to ɑ, so reject Ho. There is not sufficient evidence that the proportions are different from each other.
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