Question

A researcher wants a sample that is 10% of the population.

The researcher selected 40 participants in the random sample.

How many are in the population?

(2 points)
Answer:

Answer 1

To find the total population size based on the sample selected, we can set up the equation:

\[ \text{Sample size} = 0.10 \times \text{Population size} \]

Given that the sample size is 40 participants, we can substitute that into the equation:

\[ 40 = 0.10 \times \text{Population size} \]

To find the population size, we can rearrange the equation:

\[ \text{Population size} = \frac{40}{0.10} \]

Calculating this gives:

\[ \text{Population size} = 400 \]

So, the population size is **400**.