Question

Describe the sampling distribution of p. Assume the size of the population is 20,000. n=600, p=0.258 Describe the shape of the sampling distribution of p.

Determine the mean of the sampling distribution of p. n= 600 (Round to three decimal places as needed.) and the standard deviation of the sampling distribution of the sample proportion 0.258.​

Answer 1

Explanation:

we have a sampling Distibution of p, which is a reference to repeated samples having a proportion of 0.258.

Since 600>=30, our distribution is approximately normal by the CLT.

The mean of the distribution is is that value of the sample proportion, which is 0.258

So

`p=0.258`

The Standard Error of a Proportion (Standard Deviation) is calculated using this formula,

`SE=\sqrt{(p(1-p))/(n) ,\\`

So

`SE=\sqrt{(0.258(1-0.258))/(600) } \\SE=0.016`