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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 = 0.1 level of significance.
Category
Category 2 Category
Failures
34
78
44
Successes
24
50
88
EClick the icon to view the Chi-Square table of critical values.
State the hypotheses. Choose the correct answer below
A. H:The categories of the variable and success and failure are independent.
H: The categories of the variable and success and failure are dependent.
B. Ho H1 E and u2 E2 and
H,: At least one mean is different from what is expected.
H3 E3
C. H: The categories of the variable and success and failure are dependent
H: The categories of the variable and success and failure are independent.
OD. H: p. pp
Click to select your answer(s).

Transcribed Image Text:y tabie co
lns the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the a 0.1 level of significance.
oow
Category
Category 2 Category 3
Failures
34
78
44
Successes
24
50
88
Click the icon to view the Chi-Square table of critical values.
ompute the value of the chi-square test statistic
-
(Round to three decimal places as needed.)
Jhat range of P-values does the test statistic correspond to?
he P-value is
What conclusion can be made?
O A. 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 B. The P-value is less than a, so reject H. There is sufficient evidence that the proportions are different from each other.
Click to select your answer(s).
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