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 three percentage points?Complete parts​ (a) through​ (c) below. A: Assume that nothing is known about the percentage of adults who have heard of the brand.     a.n=_________​(Round up to the nearest​ integer.) B: Assume that a recent survey suggests that about 85​% of adults have heard of the brand.    b.n=_________(Round up to the nearest​ integer.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 three percentage points?Complete parts​ (a) through​ (c) below.

A: Assume that nothing is known about the percentage of adults who have heard of the brand.
    a.n=_________​(Round up to the nearest​ integer.)

B: Assume that a recent survey suggests that about 85​% of adults have heard of the brand.

   b.n=_________(Round up to the nearest​ integer.)

​C: Given that the required sample size is relatively​ small, could he simply survey the adults at the nearest​ college?

a.​No, a sample of students at the nearest college is a stratified​ sample, not a simple random​ sample, so it is very possible that the results would not be representative of the population of adults.

b.​No, a sample of students at the nearest college is a cluster​ sample, not a simple random​ sample, so it is very possible that the results would not be representative of the population of adults.

c.​Yes, a sample of students at the nearest college is a simple random​ sample, so the results should be representative of the population of adults.

d). ​No, a sample of students at the nearest college is a convenience​ sample, not a simple random​ sample, so it is very possible that the results would not be representative of the population of adults

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