Let $: p _ { 1 } - p _ { 2 }$

Multiple Choice

Let $: p _ { 1 } - p _ { 2 }$ denote two population proportions, and let $\hat { p } _ { 1 } = .39 , \text { and } \hat { p } _ { 2 } = .49$ be the sample proportions of samples of sizes 150 and 200, respectively. Then a large sample confidence interval for $: p _ { 1 } - p _ { 2 }$ with a confidence level of approximately 99% is determined by

A) $- .10 \pm 2.58 ( .0532 )$
B) $- .10 \pm 2.58 ( .0028 )$
C) $- .10 \pm 1.96 ( .0051 )$
D) $- .10 \pm 1.96 ( .0711 )$
E) $- .10 \pm 1.65 ( .0501 )$