To what extent do syntax textbooks, which analyze thestructure of sentences, illustrate gender bias? A study of thisquestion sampled sentences from 10 texts. One part of the studyexamined the use of the words "girl," "boy," "man," and "woman." Wewill call the first two words juvenile and the last twoadult. Is the proportion of female references that arejuvenile (girl) equal to the proportion of male references that arejuvenile (boy)? Here are data from one of the texts:
|
Gender | n | X(juvenile) |
|
Female | 63 | 48 |
Male | 134 | 50 |
|
(a) Find the proportion of juvenile references forfemales and its standard error. Do the same for the males. (Roundyour answers to three decimal places.)
Answers:
(b) Give a 90% confidence interval for the difference. (Donot use rounded values. Round your final answers to three decimalplaces.)
( ______ , _____ ) Answers
(c) Use a test of significance to examine whether the twoproportions are equal. (Use p?F ?p?M. Round your value for z to twodecimal places and round your P-value to four decimalplaces.)
Answers :
State your conclusion.
___There is not sufficient evidence to conclude that the twoproportions are different.
___There is sufficient evidence to conclude that the twoproportions are different.
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