Independent random samples of size 50 and 75 are selected. The sampling results in 35 and 35

Question:

Independent random samples of size 50 and 75 are selected. The sampling results in 35 and 35 successes, respectively. Test the following hypotheses:
a. H0: p1 - p2 = 0 vs. HA: p1 - p2 ≠ 0.Use α = 0.05.
b. H0: p1 - p2 ≥ 0 vs. HA: p1 - p2 < 0.Use α = 0.05.
c. H0: p1 - p2 … 0 vs. HA: p1 - p2 > 0.Use α = 0.025.
d. H0: p1 - p2 = 0.05 vs. HA: p1 - p2 ≠ 0.05.Use α = 0.02.