Question

an internet and cable - television supplier surveyed a random sample of their customers. the results are shown in the table.
satisfaction of internet and cable - television customers

	satisfied	not satisfied	total
cable television	824	285	1,109
total	2,644	497	3,141

which statement about the two - way frequency table is true?
the survey represents quantitative data.
there is a greater percentage of internet customers who are not satisfied than cable television customers who are not satisfied.
about half of the customers surveyed are cable - television customers.
about one - fourth of the cable - television customers are not satisfied.

Explanation:

Step1: Analyze quantitative - qualitative nature

The data is about counts of satisfied and not - satisfied customers, which is categorical data (satisfied or not satisfied), not quantitative data. So the first statement is false.

Step2: Calculate percentage of not - satisfied customers for each service

For Internet customers, the percentage of not - satisfied customers is $\frac{212}{2032}\times100\%\approx10.43\%$. For cable - television customers, the percentage of not - satisfied customers is $\frac{285}{1109}\times100\%\approx25.70\%$. So the second statement is false.

Step3: Check proportion of cable - television customers

The proportion of cable - television customers is $\frac{1109}{3141}\approx0.3531
eq0.5$. So the third statement is false.

Step4: Check proportion of not - satisfied cable - television customers

The proportion of not - satisfied cable - television customers is $\frac{285}{1109}\approx0.257\approx\frac{1}{4}$. So the fourth statement is true.

Answer:

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