A USA Today/Gallup poll asked 1006 adult Americans how much it would bother them to stay in a room on the 13th floor at 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 American's 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 96% confident that 13% of adult American's 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.