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:

Sum of Squares

Sum of squares is a statistical technique that measures the dispersion or variation within a data set, by summing the squares of deviations from the mean.

Multiple Coefficient of Determination

A statistic that represents the proportion of variance in a dependent variable that is predictable from a set of independent variables.

Dependent Variable

The outcome variable in a study, experiment, or statistical model that is influenced or predicted by another variable (or variables).

Multiple Regression Model

An analysis technique in statistics that employs numerous independent variables to forecast the result of a target variable.