Explanation
Correct answer: C.
Choice C is correct. It’s given that out of customers in a random sample said they would be interested in the new plan. This means the fraction of sampled customers who said they would be interested is . Multiplying this fraction by the total customer population yields , or . Therefore, the best estimate of the total number of customers who would be interested in the new service plan is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the number of customers surveyed who said they would be interested in the new plan, not the best estimate of the total number of customers who would be interested in the new plan.
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.