In: Statistics and Probability
In what ways do advertisers in magazines use sexual imagery to appeal to youth? One study classified each of 1509 full-page or larger ads as "not sexual" or "sexual," according to the amount and style of the dress of the male or female model in the ad. The ads were also classified according to the target readership of the magazine. Here is the two-way table of counts.
Magazine readership | ||||
Model dress | Women | Men | General interest | Total |
Not sexual | 356 | 503 | 246 | 1105 |
Sexual | 214 | 86 | 104 | 404 |
Total | 570 | 589 | 350 | 1509 |
(a) Summarize the data numerically and graphically. (Compute the conditional distribution of model dress for each audience. Round your answers to three decimal places.)
Women | Men | General | ||
Not sexual | ||||
Sexual | ||||
(b) Perform the significance test that compares the model dress for
the three categories of magazine readership. Summarize the results
of your test and give your conclusion. (Use α = 0.01.
Round your value for χ2 to two decimal places,
and round your P-value to four decimal places.)
χ2 = | |
P-value = |