You Explain It! Superstition A USA Today/Gallup poll asked 1006 adult Americans
ID: 3200079 • Letter: Y
Question
You Explain It! Superstition A USA Today/Gallup poll asked 1006 adult Americans how much it would bother them to stay in a room on the 13th floor of a hotel. Interestingly, 13% said it would bother them. The margin of error was 3 percentage points with 95% confidence. Which of the following represents a reasonable interpretation of the survey results? For those not reasonable, explain the flaw. (a) We are 95% confident that the proportion of adult Americans who would be bothered to stay in a room on the 13th floor is between 0.10 and 0.16. (b) We are between 92% and 98% confident that 13% of adult Americans would be bothered to stay in a room on the 13th floor. (c) In 95% of samples of adult Americans, the proportion who would be bothered to stay in a room on the 13th floor is between 0.10 and 0.16.Explanation / Answer
a) This represents a reasonable interpretation of the survey results. As we have used 95% Confidence level and margin of error of 3%.
b) This does not represent a reasonable interpretation of the survey results. Because 3% margin of error is for the proportion of population and no the confidence level.
c) This does not represent a reasonable interpretation of the survey results. Because 95% is the confidence level, which means with how much certainty can we rely on our result and not about the percentage of the sample
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