In a particular survey of internet users, 3641 respondents say that they use social networking sites and 1381 respondents say that they do not use social networking sites. What is the probability that a randomly selected person uses a social networking site? Does that result suggest that it is likely (with a probability of 0.5 or greater) for someone to use social networking sites?
The probability that a randomly selected person uses a social networking site is (Round to three decimal places as needed.)
Is it likely for a respondent to use social media?
A. No, because the probability of a respondent using social media is greater than 0.5
B. No, because the probability of a respondent using social media is less than or equal to 0.5 .
C. Yes, because the probability of a respondent using social media is greater than 0.5 .
D. Yes, because the probability of a respondent using social media is less than or equal to 0.5 .
Answer
\(\boxed{\text{Final Answer: C. Yes, because the probability of a respondent using social media is greater than 0.5.}}\)
Step 1 ：The total number of respondents in the survey is the sum of those who use social networking sites and those who do not. This gives us a total of \(3641 + 1381 = 5022\) respondents.
Step 2 ：The probability of a randomly selected person using a social networking site is calculated by dividing the number of people who use social networking sites by the total number of respondents. This gives us a probability of \(\frac{3641}{5022} = 0.725\).
Step 3 ：Since the calculated probability is greater than 0.5, it suggests that it is likely for a randomly selected person to use social networking sites.
Step 4 ：\(\boxed{\text{Final Answer: C. Yes, because the probability of a respondent using social media is greater than 0.5.}}\)
