A field biologist examined the sex ratio at birth of the lesser snow geese. A random sample of nests containing four eggs was taken. For each egg resulting in a live gosling, the laying order and the...

A field biologist examined the sex ratio at birth of the lesser snow geese. A random sample of nests containing four eggs was taken. For each egg resulting in a live gosling, the laying order and the gender of the gosling were recorded. Of the 44 successfully hatched first eggs, 20 were male.


(a) Are the conditions met to calculate a confidence interval for the proportion of successfully hatched first eggs that are male?

(b) Calculate a 99% confidence interval for
p: