Question

in a particular survey of internet users, 3660 respondents say that they use social networking sites and 1353 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 0.730 (rounded to three decimal places as needed) is it likely for a respondent to use social media?
a. yes, 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. no, 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

Explanation:

Step1: Calculate total respondents

Total = 3660 (use) + 1353 (not use) = 5013

Step2: Calculate probability of using social sites

Probability = $\frac{\text{Number of users}}{\text{Total respondents}}$ = $\frac{3660}{5013}$ ≈ 0.730

Step3: Analyze if likely (prob ≥ 0.5)

0.730 > 0.5, so yes. Option A states this.

Answer:

A. Yes, because the probability of a respondent using social media is greater than 0.5