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

question 126

Short Answer

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,construct a 90% confidence interval estimate of the difference between the proportion of males and females who prefer Pepsi.

---

Definitions:

Dictator Game

An experimental game in economics where one player, the "dictator," determines how to split a sum of money between themselves and another player.

Fair Trade

A movement aimed at supporting producers in developing countries to achieve better trading conditions and promoting sustainable farming and production practices.

Ultimatum Game

The Ultimatum Game is an experimental economics game in which two players decide how to divide a sum of money, with one player making an offer and the other choosing to accept or reject it.

Dictator Game

A behavioral economics experiment where one individual, the "dictator," determines how to split an amount of money between themselves and another participant.