Question

$1.13$A local radio station has a fan base of $20,000$listeners. The station wants to know if its audience would prefer

More music or more talk shows. Asking all $20,000$listeners is an almost impossible task.

The station uses convenience sampling and surveys the first $200$people they meet at one of the station’s music concert events. $24$people said they’d prefer more talk shows, and 176 people said they’d prefer more music.

Do you think that this sample is representative of (or is characteristic of) the entire $20,000$listener population?

Short answer

Samples get representative of the population

Step-by-step solution

Step 1: Given Information

$20,000$listeners are considered fans. The station is based on an audience that prefers music and results in talk shows. This results in having $20,000$listeners, which makes the task impossible. The first survey determines they meet$200$ people.

Step 2:  Explanation

Based on 20,000 listeners, we find that the sample is not representative. It is based on the value of the music concert. Indicating the people results in surveying the music lovers. There are major people that result in the music show getting separated from the talk show.

Final answer

There are major people that result in the music show getting separated from the talk show.