Views on Nuclear Energy Use Response Frequency Strongly favor 56 Somewhat favor 214 Somewhat oppose 104 Strongly oppose 37 A

Question

Views on Nuclear Energy Use Response Frequency Strongly favor 56 Somewhat favor 214 Somewhat oppose 104 Strongly oppose 37 A researcher interviewed 411 randomly selected US residents and asked about their views on the use of nuclear energy. The table above summarizes the responses of the interviewees. If the population of the United States was 300 million when the survey was given, based on the sample data for the 411 US residents, what is the best estimate, in millions , of the difference between the number of US residents who somewhat favor or strongly favor the use of nuclear energy and the number of those who somewhat oppose or strongly oppose it? (Round your answer to the nearest whole number.)

Accepted Answer

The correct answer is 94. Of those interviewed, &ldquo;strongly favor&rdquo; or &ldquo;somewhat favor&rdquo; the use of nuclear energy, and interviewees &ldquo;somewhat oppose&rdquo; or &ldquo;strongly oppose&rdquo; the use of nuclear energy. The difference between the sizes of the two surveyed groups is . The proportion of this difference among the entire group of interviewees is . Because the sample of interviewees was selected at random from US residents, it is reasonable to assume that the proportion of this difference is the same among all US residents as in the sample. Therefore, the best estimate, in millions, of the difference between the number of US residents who somewhat favor or strongly favor the use of nuclear energy and the number of those who somewhat oppose or strongly oppose it is , which to the nearest million is 94.

Response	Frequency
Strongly favor	56
Somewhat favor	214
Somewhat oppose	104
Strongly oppose	37

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