Question

Suppose that for a certain illness, the probability is 40% that a given patient will improve...

Suppose that for a certain illness, the probability is 40% that a given patient will improve without treatment. Then the probability that at least n out of 20 patients will improve without treatment is given in the following table.

n

9

10

11

12

13

Probability at least n improve

0.2447

0.1275

0.0565

0.021

0.0065


We give an experimental drug to 20 patients who have the illness. How many patients need to improve for the trial to be considered statistically significant?

Math   Statistics-And-Probability   
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