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TABLE 10-9
a Few Years Ago, Pepsi Invited Consumers to Take

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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,pM=0.422018n = 109 , p _ { M } = 0.422018 \quad Females: n=52,pF=0.25n = 52 , p _ { F } = 0.25
pMpF=0.172018Z=211825p M - p F = 0.172018 \quad\quad\quad\quad\quad Z = 211825
-Referring to Table 10-9, construct a 99% confidence interval estimate of the difference between the proportion of males and females who prefer Pepsi.


Definitions:

Fiat Money

Currency that a government has declared to be legal tender, despite it lacking intrinsic value and not being backed by physical commodities.

Legal Tender

Government-issued currency that, by law, must be accepted as a form of payment within the country.

Hyperinflation

An extremely high and typically accelerating rate of inflation, leading to the rapid erosion of the real value of local currency.

Alternatives

Other options or choices available to individuals or organizations when making decisions.

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