Question

The designated market area (DMA) of Boston has approximately 3 million television households. Audience research shows that 45 percent of these households had their TV sets turned on during a particular Saturday evening and 300,000 households were watching Sports Stories, a sports news program. The share of audience for Sports Stories in the Boston DMA is _____.

A. 32
B. 35.5
C. 26
D. 22.2
E. 20.2

Answer 1

The share of audience for Sports Stories is calculated by dividing the number of households watching the program by the number of households with TVs turned on, resulting in an audience share of approximately 22.2 percent.

Step-by-step explanation:

To calculate the share of audience for Sports Stories in the Boston DMA, we first need to determine how many households had their TV sets on during the specified time. Since 45 percent of the 3 million households had their TVs turned on, that equates to 1.35 million households. The share of audience is then the number of households watching Sports Stories divided by the number of households with their TVs on. With 300,000 households watching Sports Stories, the share is therefore:

Share of audience = (Number of households watching Sports Stories) / (Total number of households with TV on)

Share of audience = 300,000 / 1,350,000 = 0.222...

Expressed as a percentage, the share is approximately 22.2 percent. Hence, the correct answer is D. 22.2