Satisfaction of Internet and Cable Television Customers

\begin{tabular}{|c|c|c|c|}
\hline
& Satisfied & Not satisfied & Total \\
\hline
Internet & 1,820 & 212 & 2,032 \\
\hline
Cable television & 824 & 285 & 1,109 \\
\hline
Total & 2,644 & 497 & 3,141 \\
\hline
\end{tabular}

Which statement about the two-way frequency table is true?

A. The survey represents quantitative data.
B. There is a greater percentage of Internet customers who are not satisfied than cable television customers who are not satisfied.
C. About half of the customers surveyed are cable-television customers.
D. About one-fourth of the cable-television customers are not satisfied.



Answer :

To determine which statement about the two-way frequency table is true, we'll evaluate each option based on the given percentages.

1. The survey represents quantitative data.
- This statement is false. The survey represents qualitative data, specifically categorical data where customer satisfaction is classified as either “Satisfied” or “Not satisfied.”

2. There is a greater percentage of Internet customers who are not satisfied than cable television customers who are not satisfied.
- For Internet customers: The percentage of those who are not satisfied is 10.43%.
- For Cable television customers: The percentage of those who are not satisfied is 25.70%.
- This statement is false because the percentage of cable television customers who are not satisfied (25.70%) is greater than the percentage of Internet customers who are not satisfied (10.43%).

3. About half of the customers surveyed are cable-television customers.
- The percentage of the total customers who are cable-television customers is approximately 35.31%.
- This statement is false because 35.31% is significantly less than half.

4. About one-fourth of the cable-television customers are not satisfied.
- For Cable television customers: The percentage of those who are not satisfied is 25.70%.
- This statement is true because 25.70% is approximately one-fourth.

Thus, after evaluating all the statements, the true statement about the two-way frequency table is:

About one-fourth of the cable-television customers are not satisfied.