Consider the following hypothesis test

Consider the following hypothesis test.
H₀: π ≥ 0.55
H₁: π < 0.55
Compute the test statistic and the p-value for the following three cases.
14 n = 300 p̅ = 0.51 α = 0.05
a p-value = 0.0823 Conclude that the population proportion is less than 0.55.
b p-value = 0.0823 Conclude that the population proportion is not less than 0.55.
c p-value = 0.0411 Conclude that the population proportion is not less than 0.55.
d p-value = 0.0411 Conclude that the population proportion is less than 0.55.

15 n = 300 p̅ = 0.51 α = 0.10
a p-value = 0.0411 Conclude that the population proportion is not less than 0.55.
b p-value = 0.0411 Conclude that the population proportion is less than 0.55.
c p-value = 0.0823 Conclude that the population proportion is not less than 0.55.
d p-value = 0.0823 Conclude that the population proportion is less than 0.55.

16 n = 900 ∑x = 468
a p-value = 0.0703 Reject H₀ at α = 0.10, but do not reject at α = 0.05.
b p-value = 0.0703 Reject H₀ at α = 0.05, but do not reject at α = 0.10.
c p-value = 0.0351 Reject H₀ at α = 0.05, but do not reject at α = 0.01.
d p-value = 0.0351 Reject H₀ at α = 0.10, but do not reject at α = 0.05.