About 71% of all female heart transplant patients will survive for at least 3 years.

Ninety 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

66%?

Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to

pqn.

The probability that the sample proportion surviving for at least 3 years will be less than

66%

is