Construct and Interpret Confidence Intervals for the Difference Between Two $5 \%$

question 10

Multiple Choice

Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions
-To construct a confidence interval for the difference of two population proportions the samples must be independently obtained random samples, both must consist of less than $5 \%$ of the population, and

• A) both np1 \(( 1 - \hat { p } 1 ) \geq 10\) and \(\hat { n p } 2 ( 1 - \hat { p } 2 ) \geq 10\) must be true.
• B) only one of \(n \hat { p } 1 ( 1 - \hat { p } 1 ) \geq 10\) or \(n \hat { p } 2 ( 1 - \hat { p } 2 ) \geq 10\) must be true.
• C) \(\operatorname { np } 1 ( 1 - \hat { \mathrm { p } } 1 ) + \hat { n p } 2 ( 1 - \hat { \mathrm { p } } 2 ) \geq 20\).
• D) \(n \mathrm { p } 1 \left( 1 - \hat { p } _ { 1 } \right) \mathrm { np } 2 \left( 1 - \hat { p } _ { 2 } \right) \geq 100\).

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Definitions:

Classes of Objects

Categories or groups of objects that share common characteristics, properties, or attributes.

Valid Argument

An argument whose premises, if true, provide conclusive support for its conclusion.

Reasoning Mistake

An error in logical thinking or judgment that leads to incorrect conclusions or decisions.