TABLE 10-9
a Few Years Ago, Pepsi Invited Consumers $n = 109 , p _ { M } = 0.422018 \quad$

question 123

Short Answer

TABLE 10-9
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.
Males: $n = 109 , p _ { M } = 0.422018 \quad$ Females: $n = 52 , p _ { F } = 0.25$
$p M - p F = 0.172018 \quad \quad \quad \quad \quad Z = 211825$
-Referring to Table 10-9, construct a 90% confidence interval estimate of the difference between the proportion of males and females who prefer Pepsi.

---

Definitions:

Regent Diamond

A famous diamond originally found in India, known for its size, beauty, and colorful history of ownership.

French Crown Jewel

Precious gems and ornaments that once belonged to the royalties of France.

Indian Mine

A mining site located in India, potentially rich in minerals like coal, iron ore, or precious stones.

Slave

A person who is legally owned by another and is forced to work for them without the freedom to leave or to refuse work.