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In what ways do advertisers in magazines use sexual imagery to appeal to youth?

ID: 3364317 • Letter: I

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

349

514

240

1103

Sexual

207

82

117

406

Total

556

596

357

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 = 0.01. Round your value for 2 to two decimal places, and round your P-value to four decimal places.)

2 =?

P-value =?


Conclusion (multiple choice)

Fail to reject the null hypothesis. There is not 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 target audience and model dress.?     

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

Reject the null hypothesis. There is 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. (multiple choice)

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

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

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

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


Magazine readership

Model dress

Women

Men

General interest

Total

Not sexual

349

514

240

1103

Sexual

207

82

117

406

Total

556

596

357

1509

Explanation / Answer

a) dividing each cell value with column total:

b)

applying chi square test of independence:

2 =88.770

p value =0.0000

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

c)

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

women men men not sexual 0.628 0.862 0.672 sexual 0.372 0.138 0.328
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