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

question 23

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A one-sided confidence interval for p can be written as p<p^+E or p<p^Ep < \hat { p } + \mathrm { E } \text { or } p < \hat { p } - \mathrm { E } E where the margin of error E is modified by replacing zα/2z _ { \alpha / 2 } with Zα{ } ^ { 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.


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