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

Step-by-step explanation:

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

        $S = \sqrt{\frac{\pi * (1- \pi)}{n} }$

Where   n is the sample size

So from the equation we see that

      $S \ \ \ \alpha \ \ \ \frac{1}{\sqrt{n} }$

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