The Following MINITAB Output Display Presents a 95% Confidence Interval

question 18

Multiple Choice

The following MINITAB output display presents a 95% confidence interval for the difference between two proportions.
$\begin{array} { l r r c } \text { Sample } & \mathrm { X } & \mathrm { N } & \text { Sample P } \\ 1 & 34 & 775 & 0.043871 \\ 2 & 22 & 967 & 0.022751 \end{array}$

Difference $= p ( 1 ) - p ( 2 )$
Estimate for difference: $0.02112$
$95 \%$ CI for difference: $( 0.001,0.041 )$
Fill in the blanks: We are 95% confident that the difference between the proportions is between ______ and ______.

• A) \(0.001,0.041\)
• B) \(0.022751,0.043871\)
• C) 775,967
• D) \(0,0.02112\)

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Definitions:

Chicken-Processing Plant

A facility involved in the slaughtering, processing, and packaging of chicken for food production and distribution.

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A company engaged in the production of components used in the assembly or repair of automobiles.

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A compensation strategy where employees' pay is based on their performance, often measured by predetermined goals or benchmarks.

USPS

The United States Postal Service, an independent agency of the federal government responsible for providing postal service in the United States.