Question

A random sample of size n=73 is taken from a population of size n=749 with a population proportion p=0.59 n = 73, p = 0.59 a-1. Is it necessary to apply the finite population correction factor? No a-2. calculate the 1.expected value and the 2.standard error of the sampling proportion

B. what is the probability that the sampling proportion is less than 0.51?

Answer 1

Solution

Given that,

p = 0.59

1 - p = 0.41

n = 73

= p = 0.59

=  [p ( 1 - p ) / n] =   [(0.59 * 0.41) / 73] = 0.0576

P( < 0.51)

= P[( - ) / < (0.51 - 0.59) / 0.0576]

= P(z < - 1.39 )

Using z table,

= 0.0823