Question

Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.n=800, p=0.6a) Determine the mean of the sampling distributionb) Dtermine the standard deviation of the sampling distribution

Answer 1

Standard deviation of the binomial distribution

=
`√(n p q) = √(192) = 13.856`

Explanation:

Explanation:-

Given size 'n' = 800

The population proportion 'p'=0.6

Let 'X' be the random variable of the binomial distribution

a) mean of the binomial distribution = n p = 800 ×0.6

μ = 480

b) variance of the binomial distribution

= n p q

= 800 X 0.6 ×0.4

σ² = 192

Standard deviation of the binomial distribution

σ =
`√(n p q) = √(192) = 13.856`