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

question 224

Multiple Choice

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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Definitions:

Late Majority

A group in the diffusion of innovation theory, representing consumers who adopt new products or technologies after the average member of society, often motivated by a desire to maintain the status quo.

Late Adopters

Individuals or groups who are among the last to use or accept new products, technologies, or ideas, often due to skepticism or resistance to change.

Favourable Attitudes

Refers to positive predispositions or feelings towards people, objects, or concepts.

Socially Active

The state or condition of being engaged and active in social contexts, including participating in group activities or contributing to community and social networks.