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Suppose a website has about 1,500,000 users. When each member signs up,

he or she is assigned an account number.
A sample of users is to be chosen to take a survey. Using systematic
sampling of account numbers, which of these will result in the smallest
sample size?
OA. Choosing every 1500th account number
OB. Choosing every 15th account number
OC. Choosing every 150th account number
D. Choosing every 15,000th account number

1 Answer

4 votes
The option that will result in the smallest sample size when using systematic sampling of account numbers is OA. Choosing every 1500th account number.

Systematic sampling involves selecting every kth element from a population. In this case, since there are 1,500,000 users and we want the smallest sample size, selecting every 1500th account number will result in a smaller sample size compared to the other options.
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