Habitat Protection
Natural habitats must be protected to maintain the ecological balance. According to indexmundi.com's survey in 2010, about 26% of the land in Brazil is a habitat-protected area.
Suppose a geologist randomly selects 200 regions to study soil types found in the country.
Use the Central Limit Theorem (and the Empirical Rule) to find the approximate probability that the proportion of protected regions is more than one standard error from the population value of 0.26.
The conditions for using the Central Limit Theorem are satisfied because the sample is random; the population is more than 10 times 1000; n times p is 52, and n times (1 minus p) is 148, and both are more than 10.