Suppose You Want to Estimate the Difference Between Two Population $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 1708$

Suppose you want to estimate the difference between two population proportions correct to within 0.03 with probability 0.90. If prior information suggests that p1 ≈ 0.4 and p2 ≈ 0.8, and you want to select independent random samples of equal size from the populations, how large should the sample sizes be? A) $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 1708$
B) $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 1925$
C) $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 963$
D) $\mathrm { n } _ { 1 } = \mathrm { n } _ { 2 } = 1203$