About 77​% 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 72​%? 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 √pq/n   The probability that the sample proportion surviving for at least 3 years will be less than 72​% is _____ ​(Round to four decimal places as​ needed.)

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About 77​% 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 72​%?

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 √pq/n

 
The probability that the sample proportion surviving for at least 3 years will be less than 72​% is _____ ​(Round to four decimal places as​ needed.)

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