From Algorithms to Z-Scores - matloff - University of California, Davis

206 CHAPTER 10. INTRODUCTION TO CONFIDENCE INTERVALS
Then (10.28) becomes
s 2 = 1
n
= 1
n
n
i=1
n
i=1
= Y − Y 2
= p − p 2
Y 2
i − Y 2
Yi − Y 2
p − 1.96 p(1 − p)/n, p + 1.96
p(1 − p)/n
And note again that p(1 − p)/n is the standard error of p.
10.7.2 Simulation Example Again
(10.29)
(10.30)
(10.31)
(10.32)
(10.33)
In our bus example above, suppose we also want our simulation to print out the (estimated)
probability that one must wait longer than 6.4 minutes. As before, we’d also like a margin of error
for the output.
We incorporate (10.33) into our program:
1 doexpt