A field biologist examined the sex ratio at birth of the lesser snow geese. A ra

Question

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 27 successfully hatched first eggs, 17 were male. Is there significant evidence that the proportion of male goslings is not 50%. The 95% confidence interval for the proportion is (0.4475, .8118).

a. Based on the confidence interval given, is there significant evidence that the proportion of male goslings is not 50%? WHY?

b. If you had instead created a 99% confidence interval how would it compare to the one given here?

Explanation / Answer

a)as above interval contains 50% as probable value for population proportion of male goslings we do not have significant evidence that the proportion of male goslings is not 50%.

b)as 99% confidence interval will increase the width of confidence interval on both sides ; therfore still  interval contains 50% as probable value for population proportion of male goslings.

we do not have significant evidence that the proportion of male goslings is not 50%.

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