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Probability of no more than?

 
 
Reply Tue 6 Dec, 2011 11:15 pm
what is the probability that, in a sample of 500 patients, no more than 50 patients experience headaches as a side effect of taking Nexium?
Given: 10.9% of patients experienced headaches
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Reply Wed 7 Dec, 2011 06:15 am
@kaylalynn,
You would expect 54.5 headaches per 500 people (10.9% x 500) on average. That is the mean.

You would expect the standard deviation of a distribution of 500 samples to be normal in shape with a sigma of sqrt(500 * 10.9% * 89.1%) = 6.97

The z score required for 50 is (50 - 54.5)/6.97 = -.646

Looking up that z score you get 25.9%
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