Question

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	347	519	258	1124
Sexual	204	98	83	385
Total	551	617	341	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	0.630	0.841	0.757
Sexual	0.370	0.159	0.243

(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=______

Conclusion

i) Reject the null hypothesis. There is significant evidence of an association between target audience and model dress.

ii) Fail to reject the null hypothesis. There is significant evidence of an association between target audience and model dress.    

iii) Reject the null hypothesis. There is not significant evidence of an association between target audience and model dress.

iv) 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.

i) This is not an SRS. This gives us reason to believe our conclusions might be suspect.

ii)This is an SRS. This gives us no reason to believe our conclusions are suspect.    

iii) This is an SRS. This gives us reason to believe our conclusions might be suspect.

iv) This is not an SRS. This gives us no reason to believe our conclusions are suspect.

Answer 1

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