SAT考试9月每日精选题32

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Mathematics>Standard Multiple Choice

Read the following sat test question and thenclick on a button to select your answer.

A survey of a random sample of 12000 adults inthe US home-buying market finds that 97% of thosesurveyed recognized a certain real estate brand name. If the margin of error was 2.4%, ofthe following, which is the best estimate of the percent of adults in the home-buying market inthe US who recognize this real estate brand name?

A.88%

B.92%

C.96%

D.100%

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答案：C

解析：

Choice C is correct. If the researchers repeated thestudy many times with randomly selected groups ofUS adult participants, they would expect the truepercent of adults in the home-buying market whorecognize the real estate brand name to be within the margin of error around the sampleproportion.

The interval around the sample statistic is called the confidence interval. In this case, thatinterval is 97%±2.4%.

97-2.4=94.6，97+2.4=99.4

It is likely that the true percent of US adults in the home-buying market who recognize thebrand name would be between 94.6% and 99.4%.

Only one of the options falls within this range. Of these options, it is most likely that 96% ofadults in the US home-buying market recognize the real estate brand name.

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