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, suppose that the two-tail p-value was really 0.0734. State the proper conclusion. a) At $\alpha = 0.05$ , there is sufficient evidence to indicate the proportion of males preferring Pepsi differs from the proportion of females preferring Pepsi.
b) At $\alpha = 0.10$ , there is sufficient evidence to indicate the proportion of males preferring Pepsi differs from the proportion of females preferring Pepsi.
c) At $\alpha = 0.05$ , there is sufficient evidence to indicate the proportion of males preferring Pepsi equals the proportion of females preferring Pepsi.
d) At $\alpha = 0.08$ , there is insufficient evidence to indicate the proportion of males preferring Pepsi differs from the proportion of females preferring Pepsi.

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