Question

Part of the population of 8,000 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 7 of them are infected. How many elk are likely to be infected?

Answer 1

From the sample we conclude that:

$\frac{7}{50}=\text{0}.14$

the probability of an elk being infected is 0.14.

To find out how many of the total are infected we multiply the total by this probability, then:

$8000\cdot0.14=1120$

Therefore, 1120 elks are likely to be infected.