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

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) $p < 0.167$