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:

Number of People

Refers to the total population or specific subset of individuals in a particular area or group.

Poverty Trends

The patterns or changes in poverty levels over time, which can be affected by economic conditions, policy changes, and socio-demographic shifts.

Political Philosophy

An area of philosophy that explores questions about government, political structures, justice, rights, freedom, and the role of politics in human society.

Income Equalization

Policies or practices aimed at reducing the disparity in income among individuals in an economy.