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

question 54

Multiple Choice

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 $\alpha = 0.05$ , test the claim that the proportions lasting more than 100,000 pages are equal.
$\begin{array} { l c c } & \text { Manufacturer 1 } & \text { Manufacturer 2 } \\ \text { Lasted past } 100,000 & 14 & 7 \\ \text { Did not last to } 100,000 & 6 & 13 \\ \text { Total } & 20 & 20 \end{array}$

• 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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Definitions:

Weighted Average

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set, assigning weights to some of the numbers more than others.

Expected Value

The predicted value of a variable, calculated as a sum of all possible values each multiplied by the probability of its occurrence.

Unit Of Measure

A standard quantity used in measuring and expressing the quantity of an element, substance, or phenomenon.

Variance

A measure of the dispersion or spread of a set of data points around their mean value; it quantifies the degree to which these points differ from the mean.