Of n1 randomly selected engineering students at ASU, owned an HP calculator, and of randomly selected engineering students at Virginia Tech owned an HP calculator. Let p1 and p2 be the probability that randomly selected ASU and Va. Tech engineering students, respectively, own HP calculators.
(a) Show that an unbiased estimate for p1 – p2 (X1/n1) - (X2/n2).
(b) What is the standard error of the point estimate in part (a)?
(c) How would you compute an estimate of the standard error found in part (b)?
(d) Suppose that n1 = 200, X1 = 150, n2 = 250, and X2 = 185.
Use the results of part (a) to compute an estimate of p1 = p2.
(e) Use the results in parts (b) through (d) to compute an estimate of the standard error of the estimate.