about 73 percent of all female heart transplant patients wil

about 73 percent of all female heart transplant patients will survive for at least 3 years. 60 female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 65 percent? Assume the sampling distribution of sample proportion is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to the square root of pq divided by n.

Solution

p=0.73 q=0.27 n=60 np= 43.8 S.D= Sqrt(npq) = SQRT(11.826) = 3.438