Question

One condition for performing a hypothesis test is that the observations are independent. Mark is going to take a sample from a population of 400 students.How many students will Marta have to sample without replacement to treat the observations as independent?

Answer 1

Answer: 40

Explanation:

Answer 2

40

Explanation:

Given :

The number of the observations in the population is N = 400

There is a
`10\%` rule of assuming the independence.

Now, according to the rule, if we sample without replacement then, any sample of sizes less than or equal to
`10\%` of the population is considered independent.

`10\%` of population =
`10\%` of 400

`$=(10)/(100) * 400$`

= 40

Any sample of sizes less than or equal to 40 will be independent for the given population if it is sampled without replacement.

So, the answer is 40.

So, Mark have a sample of 40 students without replacement to treat the observations as independent.