Question

A total of 4.8 percent of the prime time viewing audience watched shows on ABC, 6.7 percent watched shows on CBS, 5.2 percent on Fox, 5.8 percent on NBC, 1.7 percent on Warner Brothers, and 1.9 percent on UPN. A total of 73.9 percent of the audience watched shows on other cable networks, such as CNN and ESPN. What will be the prime time viewing percentage of the pie chart for the following data? (Only consider the viewers watching non-cable news.) (Round your answers to 2 decimal places.)
Prime time viewing
ABC %
CBS %
Fox %
NBC %
Warner %
UPN %

Answer 1

Answer:

Prime time viewing

ABC % = 18.39%

CBS % = 25.67%

Fox % = 19.92%

NBC % = 22.22%

Warner % = 6.51%

UPN % = 7.28%

Step-by-step explanation:

We have to calculate the percentage of prime time viewing for each of the non-cable networks.

We know that 73.9% of the audience watched shows on cable networks. That left us with 26.1% of the audience for the non-cable networks.

$\text{Cable\%}=1-0.739=0.261=26.1\%$

Then, if we use a pie chart only for the non-cable networks, we have to calculate the proportion of each network relative to the non-cable audience.

We can calculate that as:

$\text{ABC}=0.048/0.261=0.1839=18.39\%\\\\\text{CBS}=0.067/0.261=0.2567=25.67\%\\\\\text{Fox}=0.052/0.261=0.1992=19.92\%\\\\\text{NBC}=0.058/0.261=0.2222=22.22\%\\\\\text{Warner}=0.017/0.261=0.0651=6.51\%\\\\\text{UPN}=0.019/0.261=0.0728=7.28\%$