Describe in detail how you would select a 4 systematic sampl

Describe in detail how you would select a 4% systematic sample of the adults in a nearby large city in order to complete a survey about a political Issue. Randomly select the first adult and then select every 4th adult thereafter. Randomly select the fourth adult and then select every 25th adult thereafter. Randomly select the fourth adult and then select every 4th adult thereafter. Randomly select the first adult and then select every 25th adult thereafter.

Solution

In systematic sampling, we treat the list circular. The first element for our sample is selected randomly, and then every kth element is selected after first selection in the list. Here, k = N/n, where N = size of population and n = sample size

k = N/(N*0.04) = 25

Option (D) is correct.