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 95% confident that his estimate is in error by no more than two percentage points? Complete parts (a) through (c) below. Part 1 a) Assume that nothing is known about the percentage of computers with new operating systems.
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 95% confident that his estimate is in error by no more than two percentage points? Complete parts (a) through (c) below. Part 1 a) Assume that nothing is known about the percentage of computers with new operating systems.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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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
95%
confident that his estimate is in error by no more than
two
percentage
points?
Complete parts (a) through (c) below.Part 1
a) Assume that nothing is known about the percentage of computers with new operating systems.
n=enter your response here
(Round up to the nearest integer.)
Part 2
b) Assume that a recent survey suggests that about
91%
of computers use a new operating system.n=enter your response here
(Round up to the nearest integer.)
Part 3
c) Does the additional survey information from part (b) have much of an effect on the sample size that is required?
No, using the additional survey information from part (b) does not change the sample size.
No, using the additional survey information from part (b) only slightly increases the sample size.
Yes, using the additional survey information from part (b) dramatically increases the sample size.
Yes, using the additional survey information from part (b) dramatically reduces the sample size.
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