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A Product Testing Laboratory Selected a Sample of 20 Printers α=0.05\alpha = 0.05

Question 54

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A product testing laboratory selected a sample of 20 printers from 2 different manufacturers to determine if they could print more than 100,000 pages without breaking down. At α=0.05\alpha = 0.05 , test the claim that the proportions lasting more than 100,000 pages are equal.
 Manufacturer 1  Manufacturer 2  Lasted past 100,000147 Did not last to 100,000613 Total 2020\begin{array} { l c c } & \text { Manufacturer 1 } & \text { Manufacturer 2 } \\ \text { Lasted past } 100,000 & 14 & 7 \\ \text { Did not last to } 100,000 & 6 & 13 \\ \text { Total } & 20 & 20 \end{array}


A) There is evidence to reject the claim that the proportions are equal because the test value 4.912 < 9.488
B) There is evidence to reject the claim that the proportions are equal because the test value 9.488 > 1.404
C) There is evidence to reject the claim that the proportions are equal because the test value 4.912 > 3.841
D) There is not evidence to reject the claim that the proportions are equal because the test value 3.841 > 1.404

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