Question: A drug is assumed to be effective with an unknown probability p. To estimate p the drug is given to n patients. It is found

A drug is assumed to be effective with an unknown probability p. To estimate p the drug is given to n patients. It is found to be effective for m patients. The method of maximum likelihood for estimating p states that we should choose the value for p that gives the highest probability of getting what we got on the experiment. Assuming that the experiment can be considered as a Bernoulli trials process with probability p for success, show that the maximum likelihood estimates for p is the proportion m/n of successes.

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