Question

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04

.

If 384

are sampled, what is the probability that the sample proportion will be less than 0.06? Round your answer to four decimal places.

Answer 1

Solution

=  [p ( 1 - p ) / n] =   [(0.04 * 0.96) / 384] = 0.01

P( < 0.06) =

= P[( - ) / < (0.06 - 0.04) / 0.01]

= P(z < 2)

= 0.9772

Probability = 0.9772