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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 pvalue
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.
 Fall '13
 Wang
 Statistics

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