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:

Escalating Commitment

A behavioral phenomenon where an individual or group continues to invest in a decision despite evidence of its ineffectiveness.

Confirmation Error

A cognitive bias that involves focusing on information that confirms one's preconceptions and ignoring information that contradicts them.

Framing Error

A mistake made when individuals misinterpret the context or perspective of a decision or problem, often influenced by the way information is presented.

Strategic Opportunism

A business strategy focusing on recognizing and capitalizing on opportunities with flexibility while maintaining a core strategic direction.