To determine which statement about the two-way frequency table is true, let's calculate the percentages of dissatisfaction for both internet and cable television customers.
### Step-by-Step Solution:
1. Identify the Total Number of Customers for Each Service:
- Internet:
- Satisfied customers: 1,820
- Not satisfied customers: 212
- Total customers for internet: [tex]\( 1,820 + 212 = 2,032 \)[/tex]
- Cable Television:
- Satisfied customers: 824
- Not satisfied customers: 285
- Total customers for cable television: [tex]\( 824 + 285 = 1,109 \)[/tex]
2. Calculate the Percentage of Customers Who Are Not Satisfied for Each Service:
- Internet:
- Number of not satisfied customers: 212
- Total number of internet customers: 2,032
- Percentage of not satisfied customers:
[tex]\[
\left( \frac{212}{2,032} \right) \times 100 \approx 10.43\%
\][/tex]
- Cable Television:
- Number of not satisfied customers: 285
- Total number of cable television customers: 1,109
- Percentage of not satisfied customers:
[tex]\[
\left( \frac{285}{1,109} \right) \times 100 \approx 25.70\%
\][/tex]
3. Compare the Percentages:
- The percentage of internet customers who are not satisfied is approximately 10.43%.
- The percentage of cable television customers who are not satisfied is approximately 25.70%.
### Conclusion:
Given the percentages calculated above, the correct statement is:
[tex]\[
\boxed{\text{There is a greater percentage of cable television customers who are not satisfied than internet customers who are not satisfied.}}
\][/tex]
