A product manager for an inexpensive shampoo product was concerned because of declining sales.docx

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4.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 πIand the expensive shampoo by πE, the correct hypotheses for this situation are 1.H0: πI = πE, Ha: πI > πE.2.H0: πI = .50, Ha: πI ≠ .50.3.H0: πI < .50, Ha: πI >.50.4.H0: πI = πE, Ha: πI ≠ πE.5.none of the above. (Use the following information for the next four questions.) A large clothing manufacturer plans to introduce a new line of sports clothes for women if preliminary market research shows that at least 50% of the population are favorably impressed by the new line. Five hundred women were surveyed; 265 of the women were favorably impressed. The research manager wants to test the hypothesis at the .05 significance level. The zvalue associated with this significance level is 1.645.\

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