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 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 the first option

Quantitative data is numerical data that can be measured. The data in the table (satisfied or not satisfied) is categorical (qualitative) as it represents types of responses. So, the first option is false.

Step2: Calculate the percentage of not - satisfied customers for Internet and Cable - television

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 \(\frac{285}{1109}\times100\approx25.7\%\)
Since \(10.43\%<25.7\%\), the second option is false.

Step3: Check the proportion of cable - television customers

The proportion of cable - television customers is \(\frac{1109}{3141}\approx0.353\) (not about half). So, the third option is false.

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

The proportion of not - satisfied cable - television customers is \(\frac{285}{1109}\approx0.257\approx\frac{1}{4}\)

Answer:

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