A One-Sided Confidence Interval for P Can Be Written As p

question 27

Multiple Choice

A one-sided confidence interval for p can be written as $p < \hat { p } + \mathrm { E } \text { or } p > \hat { p } - \mathrm { E }$ where the margin of error E is modified by replacing $z _ { \alpha / 2 }$ with $Z _ { \alpha }$ If a teacher wants to report that the fail rate on a test is at most x with 90 % confidence, construct the appropriate one -sided confidence interval. Assume that a simple random sample of 74 students results in 8 who fail the test.

• A) \(p < 0.062\)
• B) \(p < 0.154\)
• C) \(p > 0.062\)
• D) \(p < 0.167\)

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Definitions:

Acquired

Something that is not innate but has been obtained or developed through learning, experience, or exposure.

Manipulated

Altered or controlled in a deliberate manner, often used in the context of experimental research to test hypotheses.

Extraneous Variable

A variable that is not the focal point of a study but may affect the outcome of the research if not properly controlled.

Genetic Predisposition

A natural inclination or tendency for individuals to develop certain diseases or disorders due to their genetic makeup.