SCENARIO 10-8
a Few Years Ago, Pepsi Invited Consumers to Take

SCENARIO 10-8
A few years ago, Pepsi invited consumers to take the "Pepsi Challenge." Consumers were asked to decide which of two sodas, Coke or Pepsi, they preferred in a blind taste test.Pepsi was interested in determining what factors played a role in people's taste preferences.One of the factors studied was the gender of the consumer.Below are the results of analyses comparing the taste preferences of men and women with the proportions depicting preference for Pepsi. $$\begin{array} { l } \text { Males: } n = 109 , p _ { M } = 0.422018 \quad \text { Females: } n = 52 , p _ { F } = 0.25 \\p _ { M } - p _ { F } = 0.172018 \quad Z = 2.11825\end{array}$$
-Referring to Scenario 10-8, to determine if a difference exists in the taste preferences of men and women, give the correct alternative hypothesis that Pepsi would test.

A) $H _ { 1 } : \mu _ { M } - \mu _ { F } \neq 0$
B) $H _ { 1 } : \mu _ { M } - \mu _ { F } > 0$
C) $H _ { 1 } : \pi _ { M } - \pi _ { F } \neq 0$
D) $H _ { 1 } : \pi _ { \mathcal { M } } - \pi _ { F } = 0$