Question

Supplier Component A B C Defective 10 15 35 Good 490 485 465 (a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers. $H_0: p_A = p_B = p_C$ $H_a$: All population proportions are not equal. $H_0: p_A = p_B = p_C$ $H_a$: Not all population proportions are equal. $H_0$: All population proportions are not equal. $H_a: p_A = p_B = p_C$ $H_0$: Not all population proportions are equal. $H_a: p_A = p_B = p_C$ (b) Using a 0.05 level of significance, conduct the hypothesis test. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject $H_0$. We cannot conclude that the suppliers do not provide equal proportions of defective components. Reject $H_0$. We conclude that the suppliers do not provide equal proportions of defective components. Do not reject $H_0$. We conclude that the suppliers do not provide equal proportions of defective components. Do not reject $H_0$. We cannot conclude that the suppliers do not provide equal proportions of defective components. (c) Conduct a multiple comparison test to determine if there is an overall best supplier or if one supplier can be eliminated because of poor quality. Use a 0.05 level of significance. (Round your answers for the critical values to four decimal places.) Comparison $|\bar{p_i} - \bar{p_j}|$ $CV_{ij}$ Significant Diff > $CV_{ij}$ A vs. B No A vs. C Yes B vs. C Yes Can any suppliers be eliminated because of poor quality? (Select all that apply.) Supplier A Supplier B Supplier C none The

          Supplier
Component
A
B
C
Defective
10 15
35
Good
490 485 465
(a) Formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three
suppliers.
$H_0: p_A = p_B = p_C$
$H_a$: All population proportions are not equal.
$H_0: p_A = p_B = p_C$
$H_a$: Not all population proportions are equal.
$H_0$: All population proportions are not equal.
$H_a: p_A = p_B = p_C$
$H_0$: Not all population proportions are equal.
$H_a: p_A = p_B = p_C$
(b) Using a 0.05 level of significance, conduct the hypothesis test.
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject $H_0$. We cannot conclude that the suppliers do not provide equal proportions of defective components.
Reject $H_0$. We conclude that the suppliers do not provide equal proportions of defective components.
Do not reject $H_0$. We conclude that the suppliers do not provide equal proportions of defective components.
Do not reject $H_0$. We cannot conclude that the suppliers do not provide equal proportions of defective components.
(c) Conduct a multiple comparison test to determine if there is an overall best supplier or if one supplier can be eliminated
because of poor quality. Use a 0.05 level of significance. (Round your answers for the critical values to four decimal places.)
Comparison
$|\bar{p_i} - \bar{p_j}|$
$CV_{ij}$
Significant
Diff > $CV_{ij}$
A vs. B
No
A vs. C
Yes
B vs. C
Yes
Can any suppliers be eliminated because of poor quality? (Select all that apply.)
Supplier A
Supplier B
Supplier C
none
The

supplier component a b c defective 10 15 35 good 490 485 465 a formulate the hypotheses that can be used to test for equal proportions of defective components provided by the three suppliers 88245

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