A USA Today Gallup poll asked l006 adult Americans how much

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.

(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.

(d) We are 95% confident that 13% of adult Americans would be bothered to stay in a room on the 13th floor.

Solution

I: 0.13 +/- 0.03

I: 0.10 , 0.16

(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.