Prior to the 2014 elections, 1,000 randomly selected Louisiana voters were surveyed about what single issue would most likely influence their vote. Of those surveyed, 560 voters answered that the state of the economy would most influence their vote. Based on this information, which statement about all voters in Louisiana is most appropriate? Choose 1 answer: (A) Exactly 56% of all Louisiana voters thought the state of the economy would most influence their voting. (B) Approximately 56% of all Louisiana voters thought the state of the economy would most influence their voting. (C) Exactly 56% of Louisiana voters would vote for the candidate with the best plan to improve the economy. (D) Approximately 56% of Louisiana voters would vote for the candidate with the best plan to improve the economy.

Question

Prior to the 2014 elections, 1,000 randomly selected Louisiana voters were surveyed about what single issue would most likely influence their vote. Of those surveyed, 560 voters answered that the state of the economy would most influence their vote. Based on this information, which statement about all voters in Louisiana is most appropriate? Choose 1 answer: (A) Exactly  56% of all Louisiana voters thought the state of the economy would most influence their voting. (B) Approximately  56% of all Louisiana voters thought the state of the economy would most influence their voting. (C) Exactly  56% of Louisiana voters would vote for the candidate with the best plan to improve the economy. (D) Approximately  56% of Louisiana voters would vote for the candidate with the best plan to improve the economy.

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Question Prompt: The question prompt is: ＂Based on the survey of 1,000 Louisiana voters, which statement about all voters in Louisiana is most appropriate regarding the influence of the state of the economy on their vote?＂Statistical Inference: To answer the question, we need to understand the concept of statistical inference. The survey results are based on a sample of the population, not the entire population of Louisiana voters. Therefore, we can make an inference about the entire population based on the sample, but we cannot be certain that the percentage will be exactly the same for all voters.Calculate Percentage: We calculate the percentage of surveyed voters who said the state of the economy would most influence their vote by dividing the number of voters who answered this way (560) by the total number of surveyed voters (1000) and then multiplying by 100 to get a percentage. Percentage = (560 / 1000) * 100 = 56%Correct Inference: Since this is a sample of the population, the correct inference would be that approximately 56% of all Louisiana voters thought the state of the economy would most influence their voting. This is because the sample may not perfectly represent the entire population, and there is always a margin of error in such surveys.Survey Limitations: The survey only asked about the issue that would most likely influence voters' votes, not about their voting intentions for a specific candidate or their views on the candidates' plans to improve the economy. Therefore, we cannot make a direct inference about how they would vote based on the candidates' economic plans.

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