Question

In a town with 18,000 homes, a survey was taken to determine the number with cable T.V. Of the 360 homes surveyed, 135 had cable. Estimate the number of homes in the town that have cable T.V.

Answer 1

To estimate the number of homes with cable T.V. in the town, the proportion of surveyed homes with cable (37.5%) is applied to the total number of homes (18,000), resulting in an estimate of 6,750 homes with cable.

Step-by-step explanation:

To estimate the number of homes in the town with cable T.V., we can use the proportion from the survey. From the 360 homes surveyed, 135 had cable. This gives us a proportion of 135/360. To estimate the total number in the town, we multiply this proportion by the total number of homes in the town.

The calculation is as follows:

1. Calculate the proportion of homes with cable in the sample: 135/360 = 0.375 (or 37.5%).
2. Apply this proportion to the total number of homes: 0.375 * 18,000 = 6,750.

Thus, we estimate that approximately 6,750 homes in the town have cable T.V.