# M:C:MC:SET:1B

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

A survey about voter participation in the 2012 US presidential election was conducted among a randomly chosen sample of US citizens. The table summarizes the results by age group.

Age group | Voted | Did not vote | No response | Total |
---|---|---|---|---|

18–34 | 303 | 232 | 95 | 630 |

35–54 | 471 | 177 | 95 | 743 |

55–74 | 431 | 101 | 68 | 600 |

75 and older | 124 | 35 | 18 | 177 |

Total | 1,329 | 545 | 276 | 2,150 |

A second sample of 50 people from the 18–34 age group who reported voting in the 2012 presidential election were selected at random and asked which candidate they voted for. Of these people, 29 responded that they voted for Candidate A, and 21 responded that they voted for someone else. Based on this information, which of the following is the most appropriate estimate of the number of people from the 18–34 age group in the survey who voted for Candidate A in the 2012 presidential election?

### Select an Answer

1,247

771

365

176

### View Correct Answer

Choice D is the correct answer. This question asks students to extrapolate from a random sample to estimate the number of survey participants from the 18–34 age group 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 number of people in the survey in the 18–34 age group: ^{29}⁄_{50} × 303 ≈ 176 people.

Students without a clear grasp of this context and its representation in the table might 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 (people in the 18–34 age group in the survey who voted). This answer may result from multiplying the fraction of the sample who voted for Candidate A by the total number of people in the survey, 2,150, 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 (people in the 18–34 age group in the survey who voted). This answer may result from multiplying the fraction of the sample who voted for Candidate A by the total number of people in the survey who voted, 1,329, 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 (people in the 18–34 age group in the survey who voted). This answer may result from multiplying the fraction of the sample who voted for Candidate A by the total number of people in the 18–34 age group, 630, which is an incorrect application of the information.

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