# Week 10 Individual Work

Jun 17th, 2015
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You Explain It! Superstition A USA Today/ Gallup poll asked l006 adult Americans how much it would bother them to stay in a room on the 13th floor of a hotel.

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StatisticsSTA 2014Week 10 Individual Work Section 9.1 22.You Explain It! Superstition A USA Today/ Gallup poll asked l006 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.The reasonable interpretations are highlighted in yellow.(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.Flaw: Confidence level is fixed and the margin of error we calculated is of the percentage of adult Americans would bother to stay in a room on the 13th floor of the hotel. (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.(d) We are 95% confident that 13% of adult Americans would be bothered to stay in a room on the 13th floor.Flaw: The margin of error needs to be considered. We cannot say with 95% confidence that 13% of adult Americans would be bothered to stay in a room on the 13th floor. Instead, we are 95% confident that the proportion of adult Americans who would be bothered to stay in a room on t

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