Inferences on p class

In an effort to improve the exceedence pilots went

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Unformatted text preview: es from the localizer, it is called an exceedence. Historically a given airline has experienced 12% exceedence at a certain airport. In an effort to improve the exceedence, pilots went through a new training program. After the program, a random sample of 250 landings at the airport found 20 in exceedence. Can we conclude that the training was successful? G. baker, Department of Statistics G. University of South Carolina; Slide 32 Was the Airline Successful in Was Reducing the Exceedence Rate? Reducing Confidence Interval Approach: Confidence ˆ p ± zα / 2 ˆ ˆ p (1 − p ) n 0.08 * 0.92 95% CI : 0.08 ± 1.96 * 250 We are 95% confident that the exceedence rate is between 0.0464 and 0.1136. G. baker, Department of Statistics G. University of South Carolina; Slide 33 Was the Airline Successful in Reducing Was the Exceedence Rate from 12%? Set up the null and alternative hypotheses for the appropriate hypothesis test. the A. B. C. D. H0: p < 0.12 H0: p < 0.12 H0: p > 0.12 H0: p > 0.12 Ha: p > 0.12 Ha: p > 0.12 Ha: p < 0.12 Ha: p < 0.12 G. baker, Department of Statistics G. University of South Carolina; Slide 34 Was the Airline Successful in Was Reducing the Exceedence Rate? Reducing Hypothesis Test Approach: Hypothesis H0: p > 0.12 Ha: p < 0.12 0.05 α = 0.05 Z= ˆ p − p0 p0 (1 − p0 ) n Z -1.645 Reject H0 Fail to Reject H0 G. baker, Department of Statistics G. University of South Carolina; Slide 35 Our Conclusion? At 0.05 level of significance There is sufficient evidence to conclude There p < 0.12. 0.12. B. There is insufficient evidence to conclude There p < 0.12. 0.12. C. There is sufficient evidence to conclude There p > 0.12 D. There is insufficient evidence to conclude There p > 0.12 A. G. baker, Department of Statistics G. University of South Carolina; Slide 36 p-value Probability of getting the test statistic we got or something more extreme given H0 is true. 0.0258 -2 -1 -1.9462 0 Z G. baker, Department of Statistics G. University of Sout...
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This note was uploaded on 01/12/2014 for the course STA 509 taught by Professor Wang during the Fall '13 term at South Carolina.

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