A random sample of 100 patients treted in a program for alco

A random sample of 100 patients treted in a program for alcoholism and drug dependency over the past ten years was selected. It was determined that 53 of the patients had been readmitted to the program at least once. At the 95% level, construct an estimate of the population proportion.

Solution

Here let X be the patient who has been admitted once.

Then X follows Binomial distribution(n,p)

Now M.L.E for p = 53/100 =0.53