Question: In each case, determine whether the sample sizes are large enough to conclude that the sampling distribution \({{p}_{1}}-{{p}_{2}}\) is approximately normal.

a. n₁ = 12, n₂= 14, \({{\hat{p}}_{1}}\) = .42, \({{\hat{p}}_{2}}\) = .57

b. n₁ = 12, n₂ = 14, \({{\hat{p}}_{1}}\) = .92, \({{\hat{p}}_{2}}\) = .86

c. n₁ = n₂ = 30, \({{\hat{p}}_{1}}\) = .70, \({{\hat{p}}_{2}}\) = .73

d. n₁ = 100, n₂ = 250, \({{\hat{p}}_{1}}\) = .93, \({{\hat{p}}_{2}}\) = .97

e. n₁ = 125, n₂ = 200, \({{\hat{p}}_{1}}\) = .08, \({{\hat{p}}_{2}}\) = .12