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.

---

Definitions:

Quality of Mind

A concept often referring to an individual's ability to be mindful, analytical, and open to perspectives, thereby understanding complex societal dynamics.

Connection

The state of being related to someone or something else; often refers to personal or emotional links between people.

Biography

A detailed description or account of someone's life, documenting various aspects of their personal and professional experiences, achievements, and challenges.

Sociological Perspective

The view that looks at behavior of groups, not individuals, emphasizing the cultural, economic, and political context that shapes society and individual actions.