Companies send advertisements to you hoping you will buy the​ company's merchandise. Suppose a company wants to test the response to a new brochure and sends it to 1130 addresses randomly selected from their mailing list of over​ 200,000 addresses. They get orders from 119 of the recipients. Use this information to complete parts a through d.   ​a) Create a 90​% confidence interval for the percentage of people the company contacts who may buy something.   ______%,_______% ​(Round to one decimal place as​ needed.)   ​b) Explain what this interval means.     A. The values for the interval bounds should be subtracted from 90​% to obtain the​ company's true confidence level.   B. The company is 90​%confident that the percentage of people who will respond to the brochure falls within the confidence interval bounds.   C. The company is 90​% confident that the probability a randomly sampled person will respond to the brochure falls within the confidence interval bounds.   D. The company is 90​%confident that the percentage of people who will not respond to the brochure falls within the confidence interval bounds.   ​c) Explain what ​"90​% ​confidence" means.     A. About 90​% of all random samples will produce intervals that contain the true proportion of people who will respond to the new brochure.   B. About 90​% of all random samples of size 1130 will produce intervals that contain the true proportion of people who will respond to the new brochure.   C. About 90​% of all random samples of size 1130 will produce intervals that do not contain the true proportion of people who will respond to the new brochure.   D. About 90​% of all randomly sampled people will respond to the new brochure.   ​d) The company must decide whether to do a mass mailing. The mailing​ won't be​ cost-effective unless it produces at least a 5​% return.   What does your confidence interval​ suggest?     A. Do the mass mailing.   B. Do not do the mass mailing.

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Author:Amos Gilat
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Companies send advertisements to you hoping you will buy the​ company's merchandise. Suppose a company wants to test the response to a new brochure and sends it to

1130

addresses randomly selected from their mailing list of over​ 200,000 addresses. They get orders from

119

of the recipients. Use this information to complete parts a through d.

 

​a) Create a 90​% confidence interval for the percentage of people the company contacts who may buy something.
 
______%,_______%
​(Round to one decimal place as​ needed.)
 
​b) Explain what this interval means.
 
 
A.
The values for the interval bounds should be subtracted from 90​% to obtain the​ company's true confidence level.
 
B.
The company is 90​%confident that the percentage of people who will respond to the brochure falls within the confidence interval bounds.
 
C.
The company is 90​% confident that the probability a randomly sampled person will respond to the brochure falls within the confidence interval bounds.
 
D.
The company is 90​%confident that the percentage of people who will not respond to the brochure falls within the confidence interval bounds.
 
​c) Explain what
​"90​%
​confidence" means.
 
 
A.
About 90​% of all random samples will produce intervals that contain the true proportion of people who will respond to the new
brochure.
 
B.
About 90​% of all random samples of size 1130 will produce intervals that contain the true proportion of people who will respond to the new
brochure.
 
C.
About 90​% of all random samples of size 1130 will produce intervals that do not contain the true proportion of people who will respond to the new
brochure.
 
D.
About 90​% of all randomly sampled people will respond to the new brochure.
 
​d) The company must decide whether to do a mass mailing. The mailing​ won't be​ cost-effective unless it produces at least a 5​% return.
 
What does your confidence interval​ suggest?
 
 
A.
Do the mass mailing.
 
B.
Do not do the mass mailing.
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