Question

1. A company wants to estimate the proportion of all workers who hold more than one job with an error bound of 0.03 and a 96% level of confidence. Find the sample size requirement for each of the following. a) A pilot sample indicated p to be approximately 0.6. b) There is nothing known about the population parameter p.

Answer 1

(a)

Sample Size (n) is given by:

Given:

=0.04

From Table, critical values of Z = 2.05

p = 0.6

e =0.03

Substituting, we get:

So,

Answer is:

1121

(b)

Sample Size (n) is given by:

Given:

=0.04

From Table, critical values of Z = 2.05

e =0.03

Since there is nothing known about population parameter p, take = 0.5

Substituting, we get:

So,

Answer is:

1168