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 option 1

Quantitative data is numerical data representing amounts. Here, satisfaction (satisfied or not - satisfied) is categorical data, not quantitative. So this option is false.

Step2: Calculate percentage of not - satisfied customers for Internet

The percentage of not - satisfied Internet customers is $\frac{212}{2032}\times100\approx10.43\%$.

Step3: Calculate percentage of not - satisfied customers for Cable television

The percentage of not - satisfied cable television customers is $\frac{285}{1109}\times100\approx25.70\%$. So, there is a greater percentage of cable - television customers who are not satisfied, and this option is false.

Step4: Calculate proportion of cable - television customers

The proportion of cable - television customers is $\frac{1109}{3141}\approx0.353$, which is not about half. So this option is false.

Step5: Calculate 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 this option is true.

Answer:

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