Question

Part of the population of 5,000 elk at a wildlife preserve is infected with a parasite. A random sample of 50

elk shows that 11 of them are infected. How many elk are likely to be infected?

Based on the sample, there will likely be

infected elk in the wildlife preserve.

Answer 1

Answer: We can use the concept of proportion to estimate the number of infected elk in the entire population. If we assume that the sample of 50 elk is representative of the entire population, then the proportion of infected elk in the sample should be roughly equal to the proportion of infected elk in the population.

The proportion of infected elk in the sample is 11/50. So we can set up a proportion:

infected elk in population / total elk in population = 11/50

We can solve for the number of infected elk in the population:

infected elk in population = (11/50) * 5000 = 1100

Therefore, based on the sample, there will likely be 1100 infected elk in the wildlife preserve.

Explanation: