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

Answer:

Standard deviation of the binomial distribution

                               = $\sqrt{n p q} = \sqrt{192} = 13.856$

Step-by-step 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    = $\sqrt{n p q} = \sqrt{192} = 13.856$