Based on a sample where 200 people read the local newspaper out of a population of 15,200, which of the following is the best estimate of the total number of readers in the town?

To estimate the total number of readers in the town based on the sample of 200 people, you can use proportions. The sample shows that 200 out of 15,200 people read the local newspaper.

First, you would calculate the proportion of readers in the sample:

[

\text{Proportion of readers} = \frac{200}{15,200}

]

Next, this proportion can be used to estimate the number of readers in the entire population. The total population of the town is 15,200. To find the estimated number of readers, you can scale the sample size to reflect the larger population:

[

\text{Estimated total readers} = \frac{200}{15,200} \times \text{Total Population}

]

Calculating this gives:

[

\text{Estimated total readers} = \frac{200}{15,200} \times 15,200 = 200

]

This calculation confirms how many people from the proportion read newspapers. However, to find a practical estimate for the total number of readers, you can think of it in terms of direct scaling. If 200 people represent the sample, to find a reasonable multiplication factor, we multiply the sample's