Test the hypotheses H0 : Px - Py = 0 H1 : Px - Py 6 0 using the following statistics from random samples.

a. pn x = 0.42, nx = 500;

pn y = 0.50, ny = 600

b. pn x = 0.60, nx = 500;

pn y = 0.64, ny = 600

c. pn x = 0.42, nx = 500;

pn y = 0.49, ny = 600

d. pn x = 0.25, nx = 500;

pn y = 0.34, ny = 600

e. pn x = 0.39, nx = 500;

pn y = 0.42, ny = 600