A city has 50 city council members. A reporter polled a random sample of 20 city council members and found that 6 of those polled supported a specific bill. Based on the sample, which of the following is the best estimate of the number of city council members in the city who support the bill?

A city has 50 city council members. A reporter polled a random sample of 20 city council... | SAT Inference from sample statistics and margin of error Practice

Choice C is correct. Because a random sample of the city council was polled, the proportion of the sample who supported the bill is expected to be approximately equal to the proportion of the total city council who supports the bill. Since $6$ of the $20$ polled, or $30$ %, supported the bill, it can be estimated that $50 \times 0.3$ , or $15$ , city council members support the bill.

Choice A is incorrect. This is the number of city council members in the sample who supported the bill. Choice B is incorrect and may result from a computational error. Choice D is incorrect. This is the number of city council members in the sample of city council members who were not polled.

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SAT Inference from sample statistics and margin of error practice question

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