Suppose That N Trials of a Binomial Experiment Result in No

question 115

Multiple Choice

Suppose that n trials of a binomial experiment result in no successes. According to the "Rule of Three", we have 95% confidence that the true population proportion has an upper bound of 3/n. If a manufacturer randomly selects 17 computers for quality control and finds no defective computers,
What statement can you make by using the rule of three, about the proportion p, of all its computers which are defective?

• A) We are \(95 \%\) confident that \(p\) does not exceed \(\frac { 3 } { 17 }\).
• B) We are \(95 \%\) confident that \(\mathrm { p }\) lies between \(\frac { 1 } { 17 }\) and \(\frac { 3 } { 17 }\).
• C) We are \(95 \%\) confident that \(p\) is greater than \(\frac { 3 } { 17 }\).
• D) The value of \(\mathrm { p }\) cannot be greater than \(\frac { 3 } { 17 }\).

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Definitions:

Monopolies

Economic situations where a single company or entity controls all or nearly all of the market for a particular type of product or service.

Standard Oil

Standard Oil was an American oil producing, transporting, refining, and marketing company. Established by John D. Rockefeller in 1870, it became the largest and first multinational corporation in the world before being dismantled in 1911 due to antitrust laws.

Upton Sinclair

An American writer and reformer, best known for his novel "The Jungle" (1906), which exposed the harsh conditions of the meatpacking industry.

Hetch Hetchy

A valley in Yosemite National Park, which was controversially dammed in the early 20th century to provide water to San Francisco.