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A Quality Control Supervisor Selected a Sample of 100 Electronic α=0.05\alpha = 0.05

Question 68

Multiple Choice

A quality control supervisor selected a sample of 100 electronic components from each of three different production chains to determine if the production chains had the same rates of meeting their quality standards. At α=0.05\alpha = 0.05 , test the claim that the proportions ar equal.
 Components  Chain 1  Chain 2  Chain 3  Meets the standard 808774 Does not meet the standard 201326 Total 100100100\begin{array} { l c c c } \text { Components } & \text { Chain 1 } & \text { Chain 2 } & \text { Chain 3 } \\ \text { Meets the standard } & 80 & 87 & 74 \\ \text { Does not meet the standard } & 20 & 13 & 26 \\ \text { Total } & 100 & 100 & 100 \end{array}


A) There is not evidence to reject the claim that the proportions are equal because the test value 5.359 < 5.991
B) There is evidence to reject the claim that the proportions are equal because the test value 5.359 < 5.991
C) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > 5.359
D) There is not evidence to reject the claim that the proportions are equal because the test value 5.991 > 5.359

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