Confidence interval for p
Let’s return to our flu shot experiment described at the beginning of this section. Suppose that 800 students were selected at random from a student body of 20,000 and given shots to prevent a certain type of flu. All 800 students were exposed to the flu, and 600 of them did not get the flu. Let p represent the probability that the shot will be successful for any single student selected at random from the entire population of 20,000. Let q be the probability that the shot is not successful.
(a) What is the number of trials n? What is the value of r?
(b) What are the point estimates for p and q?
(c) Check Requirements Would it seem that the number of trials is large enough to justify a normal approximation to the binomial?
(d) Find a 99% confidence interval for p.
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