Question: Use the following data to answer all parts of this question: A survey was taken of individuals to determine whether education level affects television-viewing habits. The data below are organized by “attended college” and “no college”. Viewing habits are organized into favoring “situation comedies,” “sports,” and “public television”. A total of 300 individuals has been sampled, with valid random sampling techniques.

* 140 of the respondents attended college, and 160 did not.

* Of the college group, 75 prefer comedies, 50 prefer public television, and the remainder prefer sports shows.

* Of the no-college group, 90 prefer sports, 50 prefer comedies, and the remainder prefer public television.

a. Set up a relative frequency distribution in a 2 X 3 table (or a 3 X 2 table). That is, set up the table, converting each “count” to a probability by dividing the count by the grand total, 300 (feel free to give yourself more space to do this).

b. For the “population” as a whole, what is the probability that an individual will prefer public television? What is the term for this probability?

c. For the “population” as a whole, what is the probability that an individual will have attended college and prefers sports programming? What is the term for this probability?

d. For the “population” as a whole, what is the probability that an individual attended college or prefers comedy programming? Show how you compute this. What is the name of the rule used for computing this probability?

e. Considering only those in the population who attended college, what is the probability of an individual preferring situation comedies? Please write this question in “probability notation”. What is the term for this probability?

f. Develop and carry out a test to determine if college attendance and preference for public television are statistically independent. Explain in a sentence the logic of your test.