Question

in a particular survey of internet users, 3647 respondents say that they use social networking sites and 1310 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 0.736 (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. yes, because the probability of a respondent using social media is greater than 0.5.
c. yes, because the probability of a respondent using social media is less than or equal to 0.5.
d. no, because the probability of a respondent using social media is less than or equal to 0.5.

Explanation:

Step1: Calculate total number of respondents

$3647 + 1310=4957$

Step2: Calculate probability of using social - networking site

$\text{Probability}=\frac{\text{Number of users}}{\text{Total number of respondents}}=\frac{3647}{4957}\approx0.736$

Step3: Determine likelihood

Since $0.736>0.5$, it is likely for someone to use social - networking sites.

Answer:

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