Question

Which sample size, n, gives the smallest standard deviation of the null distribution of sample proportions if the hypothesized long-run proportion π is 0.25??

Answer 1

Complete Question

Which sample size, n, gives the smallest standard deviation of the null distribution of sample proportions if the hypothesized long-run proportion π is 0.25?

Select one:

a. 50

b. 30

c. 40

d. 20

Answer:

The correct option is a

Explanation:

Generally standard deviation for
`\pi` is mathematically represented as

`S = \sqrt{(\pi * (1- \pi))/(n) }`

Where n is the sample size

So from the equation we see that

`S \ \ \ \alpha \ \ \ (1)/(√(n) )`

So this tell us that the more the sample size the lesser the standard deviation so the correct of to is A