Question

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

Answer 1

a) No preliminary estimate of population proportion is given so we will assume:

p = q = 0.50

For 99% confidence, z = 2.576

E = 0.03

Hence,

Required sample size

$n = (0.50)(0.50)(\frac{2.576}{0.03})^2$

n = 1844