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.
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.