A Product Manager for an Inexpensive Shampoo Product Was Concerned $\pi$

Multiple Choice

A product manager for an inexpensive shampoo product was concerned because of declining sales. The manager felt that in blind product testing there would be no difference or possibly even a preference by consumers for the inexpensive shampoo over the expensive brand name alternative. The product manager decides to test this hypothesis. If the inexpensive shampoo is given by $\pi$ _I and the expensive shampoo by $\pi$ _E, the correct hypotheses for this situation are

A) H₀ : $\pi$ _I = $\pi$ _E, H_a : $\pi$ _I > $\pi$ _E.
B) H₀ : $\pi$ _I = .50, H_a : $\pi$ _I $\neq$ .50.
C) H₀ : $\pi$ _I < .50, H_a : $\pi$ _I $\ge$ .50.
D) H₀ : $\pi$ _I = $\pi$ _E, H_a : $\pi$ _I = $\neq$ _E.
E) none of the above.