About 74% of all female heart transplant patients will survive for at least 3 years. Eighty 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 70%? 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 70% is

nothing

. (Round to four decimal places asneeded.)