SOLUTION: 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 opera
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Question 1182980: 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 90% confident that his estimate is in error by no more than five percentage points
a) Assume that nothing is known about the percentage of computers with new operating systems.
n = ?
b) Assume that the survey suggests that about 98% of computers use a new operating system
n = ? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! error=z(0.95)*sqrt(0.5*0.5/n), using 0.5 as the default most conservative approach to obtaining sample size.
0.05=1.645*sqrt(0.25/n)
square both sides
0.0025=2.706*0.25/n
n=270.6025 or 271
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Here, the equation is e=z(0.95)*sqrt(0.98*0.02/n)
n=21.217 or 22.
