An Advertising Firm Wanted to Target Television Advertisements for People

question 44

Essay

An advertising firm wanted to target television advertisements for people who eat 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 eat out, and were divided into those that do and do not eat out often. The results were that those in the group that eat out often included 3 who most watched quiz shows, 9 who most watched situation comedies, 7 who most watched movies, 8 who most watched news shows, and 3 who most watched soap operas. Of those who ate out rarely, the figures were 8 quiz show, 6 situation comedy, 13 movie, 3 news show, and 15 soap opera.
Do these data suggest that the distribution of type of shows watched is different for those who eat out often versus rarely? (Use the .05 significance level.)
a. Use the five steps of hypothesis testing.
b. Sketch the chi-square distribution.
c. Explain the logic of what you have done.
d. Figure a measure of effect size and indicate whether it is small, medium, or large.
e. Figure the approximate power.

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Definitions:

Uncertainty

The state of having limited knowledge about an existing condition or future outcome, making it difficult to make accurate predictions or decisions.

Pessimist

A pessimist is an individual who tends to see the worst aspect of things or believe that the worst will happen, often focusing on negatives rather than positives.

Decision Trees

A graphical tool that helps in decision-making by laying out different strategies and their possible outcomes in a tree-like diagram.

Sequential Problems

Issues or tasks that must be resolved or completed in a specific, linear order, often dependent on the completion of the previous step.