2. -110 points MintroState .E.507.XP My Notes Ask Your In what ways do advertise

Question

2. -110 points MintroState .E.507.XP My Notes Ask Your 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. t checked: 4/2/2018, 8 Magazine readership Model dress Women Men General interest Total Not sexua 346 516 Sexual 246 87 1108 401 217 97 Total 563 613 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 tall updates, except on tically download only t 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 ?-0.01. Round your value for ?2 to two decimal places, and round your P-value to four decimal places.) P-value - Conclusion O Reject the null hypothesis. There is significant evidence of an association between target audience and model dress. Fail to reject the null hypothesis. There is significant evidence of an association between torget audience and model dress O Reject the null hypothesis. There is not significant evidence of an aocation between target audience and model dress Fail to reject the null hypothesis. There is not significant evidence of an association between target audience and model dress. (c) All of the ads were taken from the March, July, and November issues of six magazines in one year. Discuss this fact from the viewpoint of the validity of the significance test and the interpretation of the results O This is not an SRS. This gives us reason to believe our conclusions might be suspect. O This is not an SRS. This gives us no reason to believe our conclusions are suspect. updates, select Chang pdate during that tim This is an SRS. This gives us reason to believe our conclusions might be suspect. O This is an SRS. This gives us no reason to believe our conclusions are suspect.

Explanation / Answer

(a) Here to summarize the data conditionally, we should calculate it by dividing the subject population/Total population

so here

i.e. for not sexual women Pr(NOt sexual & women) = 346/1509 = 0.2293

(b) Here expected values are

i.e. for not sexual women = 0.734 * 0.373 * 1590 = 435.31

the expected value table

Here the chi - square table where individual chi - square contribution is calculate by

X2 = [Oi - Ei]2/Ei

i.e. for asexual women = (346 - 413.39)2/413.39 = 10.99

Here X2 = 77.68

p- value = 0.0000

Here we will reject the null hypothesis and there is sufficient evidence of an association between target aurience and model dress.

(c) This is not an SRS as mgazines are only specifically drawn for specifically months. so this gives us reason to beleive our conclusion might be suspect.

Megazine Readership Women Men General Total Not sexual 0.229 0.342 0.163 0.734 Sexual 0.144 0.064 0.058 0.266 Total 0.373 0.406 0.221 1

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