The germination rate of seeds is defined as the proportion of seeds that, when properly planted and watered, sprout and grow. A certain variety of grass seed usually has a germination rate of 0.80, and a company wants to see if spraying the seeds with a chemical that is known to change germination rates in other species will change the germination rate of this grass species.
(a) Suppose the company plans to spray a random sample of 400 seeds and conduct a two-sided test of H₀ : p = 0.8 using a = 0.05. They determine that the power of this test against the alternative p = 0.75 is 0.69. Interpret the power of this test.