Question

If p is a success probability, the quantity p/(1 − p)
is called the odds. Odds are commonly estimated in
medical research. The article “A Study of Twelve

Southern California Communities with Differing Lev-
els and Types of Air Pollution” (J. Peters, E. Avol,

et al., The American Journal of Respiratory and Crit-
ical Care Medicine, 1999:760–767) reports an assess-
ment of respiratory health of southern California chil-
dren. Assume that 88 boys in a sample of 612 re-
ported being diagnosed with bronchitis during the last

12 months.
a. Estimate the proportion p of boys who have been
diagnosed with bronchitis, and find the uncertainty
in the estimate.
b. Estimate the odds, and find the uncertainty in the
estimate.​

Answer 1

Answer:

Solution

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5

n

×25

n−1

÷(5

n−1

×25

n−1

)

It can be written as

=5n×25

n−1

×

(5

n−1

×25

n−1

)

1

By further calculation

=5

n

×

5

n−1

1

So we get

=5

n–n+1

=5

1