Polar bears are obligate carnivores, and seals make up a large proportion of their diet. To determine the primary composition
of seals in the polar bear diet, a group of researchers assessed a simple random sample of 37 seals killed by polar bears from
1971 to 1973 and determined the age of the seals that were killed. The researchers found that 47% of the seals killed
were pups.
The researchers want to construct a 90% confidence interval for p, the proportion of all seals killed by polar bears that were pups. Have the requirements for a large-sample z-confidence interval been met?
Mark all of the following requirements that have been met with yes, and the requirements that have not been met with no.
? The sample is a simple random sample.
? The parameter of interest is categorical with two possible outcomes, which are considered success and failure.
? The sample size is sufficiently large.
? The requirements for constructing a large-sample z-confidence interval for a proportion have been met.
Answer Bank
Yes or No