A One-Sided Confidence Interval For $\mathrm { p }$ Can Be Written As

question 11

Multiple Choice

A one-sided confidence interval for $\mathrm { p }$ can be written as $p < \hat { p } + \mathrm { E }$ or $p > \hat { p } - \mathrm { E }$ where the margin of error $\mathrm { E }$ 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:

Global Explanations

Broad interpretations or reasons given for events or behaviors that apply universally across different situations.

Internal

Pertaining to or situated on the inside; relating to the inner nature of something or someone.

Pessimism

The tendency to see the worst aspect of things or believe that the worst will happen; a lack of hope or confidence in the future.

Pessimistic Explanatory

A tendency to interpret and explain negative events as being widespread, permanent, and uncontrollable.