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StatisticsQ&A LibraryA 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 be90%confident that his estimate is in error by no more thanfivepercentagepoints question marks?Complete parts (a) through (c) below.a) Assume that nothing is known about the percentage of computers with new operating systems.Question

Asked Oct 22, 2019

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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

90%

confident that his estimate is in error by no more than
five

percentage
points question marks?

Complete parts (a) through (c) below.a) Assume that nothing is known about the percentage of computers with new operating systems.

Step 1

**Introduction:**

The 100 (1 – *α*) % confidence interval for the population proportion, *π* is: (*π* – (*zα*/2) *√*(*π* (1 – *π*)/*n*), *π* + (*zα*/2) *√*(*π* (1 – *π*)/*n*)).

Here, *n* is the sample size, *p* is the sample proportion, and *zα*/2 is the critical value of the *z*-distribution, above which, 100 (*α*/2) % or *α*/2 proportion of the observations lie.

The quantity, (*zα*/2&sh...

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