Question

8. A random sample of size n = 75 is obtained from a population whose size is N = 12,000 and whose population proportion with a specified characteristic is P =0.8 . Describe the sampling distribution of p.

Answer 1

Solution

Given that,

p = 0.8

1 - p = 1 - 0.8 = 0.2

n = 75

N = 12000

Approximately normal, because n 0.05N and np(1 - p) 10

= p = 0.8

=  [p( 1 - p ) / n] = [(0.8 * 0.2) / 75 ] = 0.046188