Enough money has been budgeted to collect independent random samples of size n1 = n2 = 100 from populations 1 and 2 in order to estimate 1p1 - p22. Prior information indicates that p1 = p2 ≈ .4. Have sufficient funds been allocated to construct a 95% confidence interval for 1p1 - p22 of width .1 or less? Justify your answer.