Construct the Indicated Confidence Interval for the Difference Between Population $50 \%$

question 36

Multiple Choice

Construct the indicated confidence interval for the difference between population proportions p1 - p2. Assume that the samples are independent and that they have been randomly selected.
-In a random sample of 300 women, $50 \%$ favored stricter gun control legislation. In a random sample of 200 men, $26 \%$ favored stricter gun control legislation. Construct a $98 \%$ confidence interval for the difference between the population proportions $\mathrm { p } 1$ - $\mathrm { p } 2$ .

• A) \(0.157 < \mathrm { p } 1 - \mathrm { p } _ { 2 } < 0.323\)
• B) \(0.141 < \mathrm { p } 1 - \mathrm { p } 2 < 0.339\)
• C) \(0.131 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.349\)
• D) \(0.153 < p _ { 1 } - p _ { 2 } < 0.327\)

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Definitions:

Weak Group Member

An individual within a group who contributes less effectively compared to other members, often impacting the group's overall performance.

Team Creativity

The process of generating innovative and unique solutions or ideas within a team setting, leveraging the diverse skills and perspectives of team members.

Innovation

The introduction of something new, such as a new idea, method, or device, designed to bring positive change.

Self-managed

Self-managed describes a situation or system where individuals or teams operate independently, making decisions and controlling work processes without direct supervision.