The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.

\begin{tabular}{|c|c|c|}
\hline
& No internet access & Internet access \\
\hline
In person & 0.31 & 0.20 \\
\hline
Social networking & 0.15 & 0.08 \\
\hline
Wired telephone & 0.08 & 0.01 \\
\hline
Text messaging & 0.31 & 0.54 \\
\hline
Other & 0.16 & 0.16 \\
\hline
Column total & 1.00 & 1.00 \\
\hline
\end{tabular}

Based on the data, which of the following statements must be true?

Choose 1 answer:

A. A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.

B. A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.

C. A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.

D. More people without internet access prefer using social networking than people with internet access.



Answer :

To determine which statement is true based on the given data, we need to evaluate each statement individually by comparing the relevant proportions from the table.

### Statement A:
"A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access."

- Probability of preferring in person without internet access: 0.31
- Probability of preferring in person with internet access: 0.20

Since 0.31 > 0.20, this statement is true.

### Statement B:
"A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends."

- Probability of preferring wired telephone without internet access: 0.08
- Probability of preferring wired telephone with internet access: 0.01

Since 0.08 > 0.01, this statement is false.

### Statement C:
"A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."

- Probability of preferring text messaging without internet access: 0.31
- Probability of preferring text messaging with internet access: 0.54

Since 0.54 > 0.31, this statement is true.

### Statement D:
"More people without internet access prefer using social networking than people with internet access."

- Probability of preferring social networking without internet access: 0.15
- Probability of preferring social networking with internet access: 0.08

Since 0.15 > 0.08, this statement is true.

### Conclusion:

Given that multiple statements are true, the most definitive and significant comparison is between text messaging preferences for those with and without internet access (Statement C). Since the probability is significantly higher for people with internet access (0.54) compared to those without (0.31), Statement C is the most meaningful.

Therefore, the correct answer is C: A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.