Questions: 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 46 successfully hatched first eggs, 25 were male. Are the conditions met to calculate a confidence interval for the proportion of successfully hatched first eggs that are male? Choose the most complete answer. Yes: a random sample was taken, and both n(p-hat) ≥ 10 and n(1-(p-hat)) ≥ 10 Yes: a random sample was taken, and both np ≥ 10 and n(1-p) ≥ 10 No: a random sample was taken, but the n(p-hat) ≥ 10 and n(1-(p-hat)) ≥ 10 condition was not met No: a random sample was taken, but the np ≥ 10 and n(1-p) ≥ 10 condition was not met

Transcript text: snowGeese STEM 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 46 successfully hatched first eggs, 25 were male. 4 Multiple 1 Choice point Are the conditions met to calculate a confidence interval for the proportion of successfully hatched first eggs that are male? Choose the most complete answer. Yes: a random sample was taken, and both $n \hat{p} \geq 10$ and $n(1-\hat{p}) \geq 10$ Yes: a random sample was taken, and both $n p \geq 10$ and $n(1-p) \geq 10$ No: a random sample was taken, but the $n \hat{p} \geq 10$ and $n(1-\hat{p}) \geq 10$ condition was not met No: a random sample was taken, but the $n p \geq 10$ and $n(1-p) \geq 10$ condition was not met