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:

Inductive Reasoning

A rational procedure where several assumed or generally true statements are merged together to derive a particular outcome.

Word Fluency

The ability to rapidly retrieve words from memory, often tested by asking individuals to produce as many words as possible from a category in a limited time.

Fluid Intelligence

The aspect of intelligence involved in the ability to think abstractly, reason quickly, and solve problems in novel situations, independent of acquired knowledge.

Quick Reasoning

The ability to think and form judgments rapidly and efficiently.