Question

The Boston designated market area (DMA) has approximately 2 million television households. Audience research shows that 60 percent of these households had their sets turned on during a particular Saturday evening and 300,000 households were watching the Boston Celtics in a playoff game. The program rating for the Celtic game in the Boston DMA is _____ while the share of audience is ____.

A. 25; 15
B. 15; 25
C. 33; 20
D. 15; 60
E. 20; 30

Answer 1

The program rating for the Celtics game in the Boston DMA, which is based on the number of households in the DMA, is 15%. The share of audience, which is based on the number of households with their sets turned on, is 25%.

Step-by-step explanation:

The program rating for the Celtics game is calculated by dividing the number of households watching the game by the total number of television households in the Boston DMA. The program share is calculated by dividing the number of households watching the game by the number of households that have their sets turned on during the time of the broadcast.

In this scenario, the program rating is found by dividing 300,000 (households watching the game) by 2,000,000 (total television households), which equals 0.15, or 15%. The share of audience is calculated by dividing 300,000 (households watching the game) by 1,200,000 (60 percent of households that had their sets turned on), giving us 0.25 or 25%.

So the correct answer is B. 15; 25, which means the program rating for the Celtic game in the Boston DMA is 15 while the share of audience is 25.