A survey by the Health Research Institute at Pricewater-houseCoopers LLP indicated that 80% of “young invincibles” (those aged 18 to 24) are likely to share health information through social media, as compared to 45% of “baby boomers”. Source: Data extracted from “\Social Media ‘Likes’ Healthcare: From Marketing to Social Business,” Health Research Institute, April 2012, p. 8. Suppose that the survey was based on 500 respondents from each of the two groups.
a. Construct a contingency table.
b. Give an example of a simple event and a joint event.
c. What is the probability that a randomly selected respondent is likely to share health information through social media?
d. What is the probability that a randomly selected respondent is likely to share health information through social media and is in the 45 to 64 year old group?
e. Are the events “age group” and “likely to share health information through social media” independent? Explain.