Question

In: Statistics and Probability

A survey of 822 randomly selected registered voters from a certain district found that 70.1% claimed...

  1. A survey of 822 randomly selected registered voters from a certain district found that 70.1% claimed to have voted in the last presidential election.

  1. Determine how many registered voters in this survey claimed to have voted in the last presidential election.
  2. Find a 95% confidence interval estimate for the proportion of registered voters who say they voted in the last presidential election in this district.
  3. Are the survey results consistent with the actual voter turnout for this district (which was 63.9%)? Give a reasonably plausible explanation for why this outcome may have occurred in the context of this scenario
  1. The operations manager for Alaska Airlines asks you to assist them in analyzing whether they should consider having a higher fare level for passengers who prefer aisle seats. They want to conduct a survey of their current passengers to determine the percentage who prefer aisle seats and need to know who many passengers to survey to ensure that their sample percentage is within 2.5 percentage points of the true population percentage (using a 95% confidence level).

  1. Determine the minimum sample size if the percentage of passengers who prefer aisle seats has no estimate.
  2. Another airline found in a recent poll they conducted that 38.0% of air passengers prefer aisle seats. Assuming that approximately the same percentage of Alaska passengers prefer aisle seats, find the new minimum sample size that would be required to achieve the same interval estimation with 95% confidence.
  3. Repeat part (b) above, but this time the airline wants an interval estimate using a 99% confidence level.

Solutions

Expert Solution

Part 1:

a. Total no. of registered voters in this survey claimed to have voted in the last presidential election=822*0.701=576.

b. 95% confidence interval estimate for the proportion of registered voters who say they voted in the last presidential election in this district:

c. Since 0.639<Lower limit of 95% confidence interval in (b),  the survey results do not consistent with the actual voter turnout for this district.

Part 2:

orchestra answered 2 years ago
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