Consider the following hypothesis test

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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.

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