Q4 An advertising firm wanted to target television advertise

Q4) An advertising firm wanted to target television advertisements for people who dine out often. The firm conducted a study in which 75 randomly selected people noted what they watched for a week, and then they were categorized according to the type of show they watched most. They also completed a questionnaire about how often they dine out, and were divided into those that do and do not dine out often. The results were: Dine Out Often Group Dine Out Rarely Group Quiz Shows: 3 Quiz Shows: 8 Sit Coms: 9 Sit Coms: 6 Movies: 7 Movies: 13 News: 8 News: 3 Soap Operas: 3 Soap Operas: 15

- Conduct a Chi-Square Test for Independence to determine if “TV Program” and “Dining Out” are dependent on each other. (Use a .05 significance level and make sure you show all 5 steps of the hypothesis test) (SHOW ALL WORK)

- Calculate Cramer’s Phi and report its magnitude. SHOW ALL WORK

Scoring Rubric

Problem 4 (13 points):

State the hypothesis Deduct as follows:

If any aspect of null hypothesis written in words is incorrect (.5 point)

If any aspect of null hypothesis written in notation is incorrect (.5 point)

If any aspect of alternative hypothesis written in words is incorrect (.5 point)

If any aspect of alternative hypothesis written in notation is incorrect (.5 point)

Determine sampling distribution

It is critical that students choose a Chi Square (0 points)

Determine critical value Deduct as follows:

If the critical value is not correct (1 point)

If degrees of freedom are not correct (1 point)

Conduct hypothesis test Deduct as follows:

If correct equation is not used (2 points)

If correct X² statistic is not found (2 points)

If X² obtained is not compared to X² critical in some form – words or notation (1 point)

Make decision about rejecting/failing to reject the hypothesis Deduct as follows:

If student does not explicitly state “reject the null hypothesis” (1 point)

If student does not write correct conclusion in words (1 point)

If student does not write correct conclusion in notation (1 point)

If student does not give correct answer for Cramer\'s Phi and magnitude(1 point)

Solution