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

question 13

Multiple Choice

A one-sided confidence interval for $\mathrm { p }$ can be written as $\mathrm { p } < \hat { \mathrm { p } } + \mathrm { E }$ or $\mathrm { p } > \hat { \mathrm { p } } - \mathrm { E }$ where the margin of error $\mathrm { E }$ is modified by replacing $\mathrm { z } \alpha / 2$ with $\mathrm { z } _ { \alpha }$ . 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 52 students results in 7 who fail the test.

• A) \(p < 0.074\)
• B) \(\mathrm { p } < 0.212\)
• C) p \(< 0.195\)
• D) \(p > 0.074\)

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