A New York Times article reported that a survey conducted in 2014 included 36,000​adults, with 3.71​% of them being regular users of​ e-cigarettes. Because​ e-cigarette use is relatively​ new, there is a need to obtain​ today's usage rate. How many adults must be surveyed now if a confidence level of 95​% and a margin of error of 3 percentage points are​ wanted? Complete parts​ (a) through​ (c) below.     a. Assume that nothing is known about the rate of​ e-cigarette usage among adults.   n=.   (enter your response here  ) ​(Round up to the nearest​ integer.) Part 2 b. Use the results from the 2014 survey.  n=.   (enter your response here) ​(Round up to the nearest​ integer.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A New York Times article reported that a survey conducted in 2014 included 36,000​adults, with 3.71​%
of them being regular users of​ e-cigarettes. Because​ e-cigarette use is relatively​ new, there is a need to obtain​ today's usage rate. How many adults must be surveyed now if a confidence level of 95​% and a margin of error of
3 percentage points are​ wanted? Complete parts​ (a) through​ (c) below.
 
 
a. Assume that nothing is known about the rate of​ e-cigarette usage among adults.
 
n=.   (enter your response here  )
​(Round up to the nearest​ integer.)
Part 2
b. Use the results from the 2014 survey.  n=.   (enter your response here)
​(Round up to the nearest​ integer.)
Part 3
c. Does the use of the result from the 2014 survey have much of an effect on the sample​ size?
 
 
A. Yes, using the result from the 2014 survey only slightly increases the sample size.
 
B. ​Yes, using the result from the 2014 survey dramatically reduces the sample size.
 
C. ​No, using the result from the 2014 survey does not change the sample size.
 
D. ​No, using the result from the 2014 survey only slightly reduces the sample size
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