Using the given sample information, test the following hypotheses.
a. H0: p1 – p2 = 0.......Ha: p1 – p2 ≠ 0

Sample 1 .... Sample 2
n1 = 368 ... n2 = 405
x1= 175 ... x2 = 182

Let α = .05. x is the number in the sample having the characteristic of interest.

b. H0: p1 – p2 = 0.......Ha: p1 – p2 > 0

Sample 1 ... Sample 2
n1 = 649 .... n2 = 558
p̂1 = .38 ..... p̂2 = .25

Let α = .10. x is the number in the sample having the characteristic of interest.