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Does there exist gender-bias in Hollywood with respect to a characters gender an

ID: 3183641 • Letter: D

Question

Does there exist gender-bias in Hollywood with respect to a characters gender and whether they are a ‘good person’ or ‘bad person’ in a movie? To investigate, researchers randomly picked n = 637 characters from a population consisting of all characters who were portrayed as ‘smokers’ in films from 2000 to 2010. Each characters gender and their ‘role type’ was then observed. The data is summarized below.

5. Does there exist gender-bias in Hollywood with respect to a characters gender and whether they are a "good person' or 'bad person' in a movie? To investigate, researchers randomly picked n 637 characters from a population consisting of all characters who were portrayed as "smokers' in films from 2000 to 2010. Each characters gender and their role type' was then observed. The data is summarized below Character Type Gender Positive Negative Neutral 130 106 Male 255 Female 85 12 Researchers would like to investigate whether there exists a gender-bias with how Hollywood assigns roles positive, negative, or neither to the gender of the character To do so, they test whether the distribution of character types for male is the same as that for female. Give the expected counts table, the value of the test statistic, and p-value. Make your conclusion. Set 30.05.

Explanation / Answer

here applying chi square test of Homogeniety

for above test stat chi square =13.702

and test stat and p value =0.0011

as p vlaue is less then 0.05 level we reject that gender is independent with roles and conclude that there exist a gender bias

Observed O positive negative neutral Total male 255 106 130 491 female 85 12 49 146 Total 340 118 179 637 Expected E=rowtotal*column total/grand total positive negative neutral Total male 262.072 90.954 137.973 491 female 77.928 27.046 41.027 146 Total 340 118 179 637 chi square =(O-E)^2/E positive negative neutral Total male 0.191 2.489 0.461 3.140 female 0.642 8.370 1.550 10.561 Total 0.833 10.859 2.010 13.702
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