12.53 Survey Accuracy. A sample survey contacted an SRS of 2220 registered voters shortly before the...
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12.53 Survey Accuracy. A sample survey contacted an SRS of 2220 registered voters shortly before the 2016 presidential election and asked respondents whom they planned to vote for. Election results show that 46% of registered voters voted for Donald Trump. The proportion of the sample who voted for Trump varies, depending on which 2220 voters are in the sample. We will see later that in this situation, if we consider all possible samples of 2220 voters, the proportion of voters in each sample who planned to vote for Trump (call it V) has approximately the Normal distribution with mean = 0.46 and standard deviation o= 0.011, a. If the respondents answer truthfully, what is P(0.44 ≤V≤ 0.48)? This is the probability that the sample proportion V estimates the population proportion 0.46 within plus or minus 0.02. b. In fact, 43% of the respondents in the actual sample said they planned to vote for Donald Trump. If respondents answer truthfully, what is P(V≥ 0.43)? 12.53 Survey Accuracy. A sample survey contacted an SRS of 2220 registered voters shortly before the 2016 presidential election and asked respondents whom they planned to vote for. Election results show that 46% of registered voters voted for Donald Trump. The proportion of the sample who voted for Trump varies, depending on which 2220 voters are in the sample. We will see later that in this situation, if we consider all possible samples of 2220 voters, the proportion of voters in each sample who planned to vote for Trump (call it V) has approximately the Normal distribution with mean = 0.46 and standard deviation o= 0.011, a. If the respondents answer truthfully, what is P(0.44 ≤V≤ 0.48)? This is the probability that the sample proportion V estimates the population proportion 0.46 within plus or minus 0.02. b. In fact, 43% of the respondents in the actual sample said they planned to vote for Donald Trump. If respondents answer truthfully, what is P(V≥ 0.43)?
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Related Book For
Statistics for Business & Economics
ISBN: 978-1337901062
14th edition
Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Posted Date:
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