From a population of 34,000 ants, 500 were chosen at random and checked for their role. Based on the study it is estimated that 70% of the ants in the population are worker ants, with an associated margin of error of 1%. Based on these results, which of the following is a plausible value for the total number of ants in the population that are worker ants?
Answer:
D
Explanation
The correct answer is Choice D.
Using the sample data to find the expected number of worker ants in the entire ant population is plausible, especially when the margin of error is only 1%.
Choice A is incorrect because 70 is the estimated percentage of worker ants in a group, not a number of worker ants.
Choice B is incorrect and may be the result of finding the plausible number of worker ants in the sample of 500 ants.
Choice C is incorrect and may be the result of finding the plausible number of non-worker ants in the entire ant population.
✨ Expert's Tip ✨
Sample data does not guarantee exact results from an entire population, but can be a close estimation given that the sample data is a good representative of the entire population.