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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