A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99​% confident that his estimate is in error by no more than five percentage points? Complete parts​ (a) through​ (c) below. ​a) Assume that nothing is known about the percentage of computers with new operating systems.   n=664664 ​(Round up to the nearest​ integer.) ​b) Assume that a recent survey suggests that about 88​% of computers use a new operating system.   n=281281 ​(Round up to the nearest​ integer.) ​c) Does the additional survey information from part​ (b) have much of an effect on the sample size that is​ required?     A. ​No, using the additional survey information from part​ (b) only slightly increases the sample size.   B. ​No, using the additional survey information from part​ (b) does not change the sample size.   C. ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.   D. ​Yes, using the additional survey information from part​ (b) dramatically increases the sample size.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be
99​%
confident that his estimate is in error by no more than
five
percentage
points?
Complete parts​ (a) through​ (c) below.
​a) Assume that nothing is known about the percentage of computers with new operating systems.
 
n=664664
​(Round up to the nearest​ integer.)
​b) Assume that a recent survey suggests that about
88​%
of computers use a new operating system.
 
n=281281
​(Round up to the nearest​ integer.)
​c) Does the additional survey information from part​ (b) have much of an effect on the sample size that is​ required?
 
 
A.
​No, using the additional survey information from part​ (b) only slightly increases the sample size.
 
B.
​No, using the additional survey information from part​ (b) does not change the sample size.
 
C.
​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.
 
D.
​Yes, using the additional survey information from part​ (b) dramatically increases the sample size.
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