Question

In what ways do advertisers in magazines use sexual imagery to appeal to youth? One study classified each of 1500 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 age group of the intended readership. Here is a summary of the data.

	Magazine readership age group
Model dress	Young adult	Mature adult
Not sexual (percent)	72.4%	75.8%
Sexual (percent)	27.6%	24.2%
Number of ads	1000	500

Perform the significance test that compares the model dress for the age groups of magazine readership. Summarize the results of your test. (Use α = 0.05. Round your χ² to three decimal places and round your P-value to four decimal places.)

χ2	=
P-value	=

Answer 1

Ans:

	Observed(fo)
Model dress	Young adult	Mature adult	Total
Not sexual (percent)	724	379	1103
Sexual (percent)	276	121	397
Total	1000	500	1500
	Expected(fe)
Model dress	Young adult	Mature adult	Total
Not sexual (percent)	735.33	367.67	1103
Sexual (percent)	264.67	132.33	397
Total	1000	500	1500
	Chi square=(fo-fe)^2/fe
Model dress	Young adult	Mature adult	Total
Not sexual (percent)	0.175	0.349	0.524
Sexual (percent)	0.485	0.971	1.456
Total	0.660	1.320	1.980

Test statistic:

Chi square=1.980

df=(2-1)*(2-1)=1

p-value=CHIDIST(1.980,1)=0.1594