# M:C:MC:SET:1B

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**Questions 10 and 11 refer to the following information.**

A survey was conducted among a randomly chosen sample of U.S. citizens about U.S. voter participation in the November 2012 presidential election. The table below displays a summary of the survey results.

Voted | Did Not Vote | No Response | Total | |
---|---|---|---|---|

18- to 34-year-olds | 30,329 | 23,211 | 9,468 | 63,008 |

35- to 54-year-olds | 47,085 | 17,721 | 9,476 | 74,282 |

55- to 74-year-olds | 43,075 | 10,092 | 6,831 | 59,998 |

People 75 years old and over | 12,459 | 3,508 | 1,827 | 17,794 |

Total | 132,948 | 54,532 | 27,602 | 215,082 |

Of the 18- to 34-year-olds who reported voting, 500 people were selected at random to do a follow-up survey where they were asked which candidate they voted for. There were 287 people in this follow-up survey sample who said they voted for Candidate A, and the other 213 people voted for someone else. Using the data from both the follow-up survey and the initial survey, which of the following is most likely to be an accurate statement?

### Select an Answer

About 123 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.

About 76 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.

About 36 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.

About 17 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.

### View Correct Answer

Choice D is the correct answer. This question asks students to extrapolate from a random sample to estimate the number of 18- to 34-year-olds who voted for Candidate A: this is done by multiplying the fraction of people in the random sample who voted for Candidate A by the total population of voting 18- to 34-year-olds: choice D.

Students without a clear grasp of the context and its representation in the table might easily arrive at one of the other answers listed.

Choice A is not the correct answer. The student may not have multiplied the fraction of the sample by the correct subgroup of people (18- to 34-year-olds who voted). This answer may result from multiplying the fraction by the entire population, which is an incorrect application of the information.

Choice B is not the correct answer. The student may not have multiplied the fraction of the sample by the correct subgroup of people (18- to 34-year-olds who voted). This answer may result from multiplying the fraction by the total number of people who voted, which is an incorrect application of the information.

Choice C is not the correct answer. The student may not have multiplied the fraction of the sample by the correct subgroup of people (18- to 34-year-olds who voted). This answer may result from multiplying the fraction by the total number of 18- to 34-year-olds, which is an incorrect application of the information.

Students must extrapolate from a random sample to estimate a population parameter.