Use the rejection method please The article \"Racial Stereotypes in Children\'s

Question

Use the rejection method please

The article "Racial Stereotypes in Children's Television Commercials" (J. of Adver. Res., 2008: 80-93) reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. The 2000 census proportions for these four ethnic groups are .177, .032, .734, and .057, respectively. Does the data suggest that the proportions in commercials are different from the census proportions? Carry out a test of appropriate hypotheses using a significance level of .01. Use the rejection region method.

Explanation / Answer

here critical value for chi distribution at 3 degree of freedom and 0.01 level=11.3449

as test stat is higher then critical value we reject null hypothesis and conclude that proportions in commercials are differenet from the census proportions

observed Expected Chi square Probability O E=total*p =(O-E)^2/E African-American 0.177 57.00 71.51 2.94 Asian 0.032 11.00 12.93 0.29 Caucasian 0.734 330.00 296.54 3.78 Hispanic 0.057 6.00 23.03 12.59 404 404 19.5987

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