Instruction 10-10
a Few Years Ago, Pepsi Invited Consumers $p _ { M }$

question 166

Multiple Choice

Instruction 10-10
A few years ago, Pepsi invited consumers to take the "Pepsi Challenge". Consumers were asked to decide which of the two soft drinks, 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.
Males: n = 109, $p _ { M }$ = 0.422018 Females: n = 52, $p _ { F }$ = 0.25 $p _ { M }$ - $p _ { F }$ = 0.172018 Z = 2.11825
-Referring to Instruction 10-10,to determine if a difference exists in the taste preferences of men and women,give the correct alternative hypothesis that Pepsi would test.

• A) H₁: \(\pi\)_M - \(\pi\)_F = 0
• B) H₁: \(\pi\)_M - \(\pi\)_F \(\neq\) 0
• C) H₁: \(\pi\)_M - \(\pi\)_F > 0
• D) H₁: \(\pi\)_M - \(\pi\)_F \(\neq\) 0.

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Definitions:

Western Democracies

Political systems in countries where a majority of citizens have the power to make decisions through elected representatives, characterized by free and fair elections, rule of law, and protection of individual rights.

Class Support

The assistance provided by members of a particular social class to one another, which can manifest in various forms including economic help, political solidarity, or social backup.

Distribution System

A network through which a company supplies its products or services to its customers.

Ruling Class

The social class that holds the majority of wealth, power, and influence within a society, often making and enforcing policies and decisions.