10 A cable provider wanted to know how many of its 30,000 customers would be interested in a new service plan. The provider selected 300 customers at random and asked each customer whether the customer would be interested in the new plan. Of those surveyed, 8 said they would be interested. Which of the following is the best estimate of the total number of customers who would be interested in the new service plan?
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
300 Choice C is correct. It’s given that 8 out of customers in a random sample said they would be interested in the new plan. This means the fraction of sampled 8 customers who said they would be interested is 300. Multiplying this fraction by 8 30,000 800 the total customer population yields a300k^ h, or . Therefore, the best estimate of the total number of customers who would be interested in the new 800 service plan is . 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 is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.
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