A one-sided confidence interval for p can be written as $p \hat { p } - \mathrm { E }$ 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

Question

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) $p < 0.167$

Quizplus · Accepted Answer

The sample proportion $\hat{p}$ is 8/74. For a 90% one-sided confidence interval, use $Z_{0.10}$ which is approximately 1.28. Calculate the margin of error and construct the interval.

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