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

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) $n \mathrm { p } 1 \left( 1 - \hat { p } _ { 1 } \right) \mathrm { np } 2 \left( 1 - \hat { p } _ { 2 } \right) \geq 100$ .