8.70 Gender bias in textbooks. To what extent do textbooks on syntax (analysis of sentence structure) display gender bias? A study of this question sampled sentences from 10 texts. One part of the study examined the use of the words “girl,” “boy,” “man,” and “woman.” Call the first two words juvenile and the last two adult. Is the proportion of female references that are juvenile (“girl” rather than “woman”) equal to the proportion of male references that are juvenile (“boy” rather than “man”)? Here are data from one of the texts:
(a) Find the sample proportions of juvenile references for females and for males.
(b) Give a 95% confidence interval for the difference and briefly summarize what the data show.
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