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A marketing research consultant hired by Red Bull® is interested in determining if the proportion of customers who prefer Red Bull® to other energy drink brands is over 50%. A random sample of 200 consumers was selected from the market under investigation, 55% favored Red Bull® over other brands. Additional information is presented below.
-(A) If you were to conduct a hypothesis test to determine if greater than 50% of customers prefer Red Bull® to other brands, would you conduct a one-tail or a two-tail hypothesis test? Explain your answer.
(B) How many customers out of the 200 sampled must have favored Red Bull® in this case?
(C) Using a 5% significance level, can the marketing consultant conclude that the proportion of customers who prefer Red Bull® exceeds 50%? Explain your answer.
(D) If you were to use a 1% significance level, would the conclusion from (C) change? Explain your answer.
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