A programmer plans to develop a new software system. In planning for the operating system that he willuse, 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 three percentage points? Complete parts(A) through(C) below.

A) Assume that nothing is known about the percentage of computers with new operating systems. (Round up to the nearestinteger.)

n=

B) Assume that a recent survey suggests that about 87% of computers use a new operating system. (Round up to the nearestinteger.)

n=

C) Does the additional survey information from part(b) have much of an effect on the sample size that isrequired?

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 increases the sample size.

d.

Yes, using the additional survey information from part(b) dramatically reduces the sample size.