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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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You Explain It! Superstition A USA Today/Gallup poll asked

Chapter 5, Problem 22AYU

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QUESTION:

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.

(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.

Questions & Answers

QUESTION:

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.

(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.

ANSWER:

Answer :

Step 1

(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.

This is not a reasonable interpretation of the survey results.

It is Correct.

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